Rates of Change Worksheets with Solutions

Prior to working with rates of change, one should have an understanding of basic algebra, a variety of constants and non-constants ways in which a dependent variable can change with respect to changes in a second independent variable. It is also recommended that one has experience calculating slope and slope intercepts. The rate of change is a measure of how much one variable changes for a given change of a second variable, which is, how much one variable grows (or shrinks) in relation to another variable. The following questions require you to calculate the rate of change. Solutions are provided in the PDF. The speed at which a variable changes over a specific amount of time is considered the rate of change. Real life problems as those presented below require an understanding of calculating the rate of change. Graphs and formulas are used to calculate rates of change. Finding the average rate of change is similar to a slope of the secant line that passes through two points. Here are 10 practice questions below to test your understanding of rates of change. You will find PDF solutions here and at the end of the questions. Questions The distance a race car travels around a track during a race is measured by the equation: s(t)2t25t Where t is the time in seconds and s is the distance in meters. Determine the car’s average speed: During the first 5 secondsBetween 10 and 20 seconds.25 m from the start Determine the instantaneous speed of the car: At 1 secondAt 10 secondsAt 75 m The amount of medicine in a milliliter of a patient’s blood is given by the equation:M(t)t-1/3 t2Where M is the amount of medicine in mg, and t is the number of hours passed since administration.Determine the average change in medicine: In the first hour.Between 2 and 3 hours.1 hour after administration.3 hours after administration. Examples of rates of change are used daily in life and include but are not limited to: temperature and time of day, rate of growth over time, rate of decay over time, size and weight, increases and decreases of stock over time, cancer rates of growth, in sports rates of change are calculated about players and their statistics. Learning about rates of change usually begins in high school and the concept is then re-visited in calculus. There are often questions about the rate of change on SATs and other college entry assessments in mathematics. Graphing calculators and online calculators also have the ability to calculate a variety of problems involving the rate of change.

Language, Integration, Education, Mental Health, And...

CHALLENGES: LANGUAGE, ACCULTURATION, EDUCATION, MENTAL HEALTH, AND IMMIGRATION Latinos constitute the single largest minority in this country with a population of over 55 million. There is not, however, a prototypical Latino individual due to that community’s extensive diversity in terms of culture, economics, education, ethnicity, and religion. Latinos and their families must confront numerous challenges. While an assumption might be that immigration would be a prime concern, a majority of Latinos instead believe that education is their main challenge followed by economic and job-related concerns, medical care, and then immigration. A number of specific challenges can be identified, including language, acculturation, education and limited Supplemental Educational Services (SES), mental health, and immigration. While they all are related to each other, the order of their listing does not reflect their relative significance. Language is vital for any minority. Although most Latinos speak Spanish, Brazilians have Portuguese as their language. Newly arrived immigrants mostly use Spanish while second and third generation Latinos might be bilingual or speak English exclusively. Language is so essential since it directly impacts attaining education and employment as well as enhancing family cohesion. Culture is imparted via language. Accordingly, parents whose primary language is Spanish or Portuguese might compel their offspring to use their native language. Thus, deciding onShow MoreRelatedImmigration Is The Strongest Forces That Has Shaped Recent History1281 Words   |  6 PagesThere has been a dramatic rise in im migration in the past 30 years. The new immigrant families are more linguistically, socioeconomically, ethnically diverse than previous immigrant families. Immigrants face more stressors today than in previous years. Counselors need to be aware of the many differences and the many struggles that today s immigrants face. Keywords: Immigrants, stressors, struggles  Group Counseling with Immigrants Thirteen million refugees and about 100 million immigrantsRead MoreDiversity in the United States1647 Words   |  7 PagesPart One The United States population continues to increase in racial and ethnic diversity, therefore, it is pertinent that mental health professionals tailor their services to the needs of various cultural populations (Constantine, Kindaichi, Arorash, Donnelly, Jung, 2002). The awareness that ethnic minorities experience negative consequences from being oppressed, resulted in the multicultural competence pedagogy and has helped counselors identify effective strategies to generate social changeRead MoreThe Success of Taiwanese Immigrants1519 Words   |  7 Pagescame into the U.S for higher education, but then decided to stay or migrate whether because of family that was already there, or the job opportunities they had in America, or for their children, etc. and were successful in leaving an economic impact in America and started living an American lifestyle, but as some other Asian Immigrants, with some resentment and prejudice by others, they had also brought their own tradition. The point of this paper is to show the immigration of the Taiwanese and theRead MoreMy Family As A Multi Cultural Community1290 Words   |  6 Pagessituations as my family did in the predominantly White neighborhood that we all lived in. Over half of the individuals in the community embraced the diversity, while it was evident that the other half of the community was not coping well with the integration. A few microinsults they received were harsh stares, individuals moving away from them in restaurants, and even having parents tell their children to not play with my friend and her siblings at the park. According to Sue, D., Rasheed, M., RasheedRead MoreEssay about The Effect of Ayslum Policy on Social Exclusion in the UK2303 Words   |  10 PagesThe Effect of Ayslum Policy on Social Exclusion in the UK This essay will discuss what asylum policy is, and how it has increased levels of social exclusion in the UK, where I will use specific examples from health and housing. Though, first, one must understand the term asylum seekers which applies to someone who has applied for asylum in this country, their application has been accepted as worthy of consideration and is being processed. In comparison, a refugee isRead MoreImmigrants and Health Care Essay2622 Words   |  11 PagesBiddle 2006). That is, immigrants entering these countries are typically healthier than native-born citizens. Yet, although a clear health gap separates native-born Canadians from new immigrants, it gradually dissipates to the point where the two groups exhibit similar levels of health (McDonald Kennedy, 2004). Why people who have consistently enjoyed high levels of health for much of their lives would experience such a marked decrease is rather puzzling, but two major contributing factors have beenRead MoreThe University Of Auckland T Ā Maki Campus Essay2336 Words   |  10 Pagesundergraduate students are enrolled in either Medical and Health Sciences and the Sciences faculty, whereas the postgraduate students are involved in research. The two main research themes at the campus are Health Innovation and Biodiversity and Biosecurity Innovation. The health innovation aspect is primarily focused on the School of Population Health and the Faculty of Science, this includes the study of Pacific health, health systems, MÄ ori health (Kaupapa MÄ ori research) and epidemiology. The biodiversityRead More The Effects of Globalization on Social Work Practices Essay1835 Words   |  8 Pagesminority groups due to exclusion from the labour market (Dominelli and Khan, 2000). Dominelli (2010) reported that in order for the UK to bail out the banks during the 2008 financial crisis, public expenditure and welfare provisions were cut in health and education and subsequently income support was reduced. There have been implications on social work practice a result of globalisation. Due to a greater availability of rapid transport it has become easier to cross borders. This brings new socialRead MoreU.S. Born Children With Immigrant Parents2468 Words   |  10 PagesChen New York University Abstract There are lots of different types of families in America because of its diversified culture. Children grew up in different families may be influenced by different elements including family, education, community and so on. U.S.-born children with immigrant parents are facing much more challenges from the very beginning of their life than children with American parents. The society which as a whole system includes several layers impactng each otherRead MoreMy Field Placement Will Be At Child Protective Services2030 Words   |  9 Pageschildren living in the most disadvantaged communities, including those living in extreme poverty or those living with caretakers who are unable or unwilling to care for them due to chronic problems of substance abuse, mental health disorders, or domestic violence. (U.S. Department of Health and Human Services, 2010) Community Resources and Structure The prevention services required to patronage the target population of Child maltreatment and neglect should exemplify the best practice in effective interventions

Post-Industrial Society Effects on Organizational Change free essay sample

Society can be defined as the changes in work, organization, and employment relations that are attendant on the evolution from an economy based on manufacturing to one based on services (â€Å"Dictionary of Human Resource Management,† 2002). Organizational shifts or changes are based on changes in society in all aspects. Just as Huber predicted in 1984, the major increase in post-industrial societys complexity will lead to increases in specialization and diversity (Huber, 1984). Specialization is a common trend in the current organizational environments. Today there are specialists in all industries and organizations. An example that can prove Huber’s theory is accurate is technology. Organizations have had to change their organizational structures based on technology as it has evolved. As computers became more prevalent in the work place more and more jobs were created to entertain this concept. â€Å"The causal role of technology has been widely accepted in Western culture and the role of technology as an agent of change is common in the popular view of modem history where it is usually featured in simple, plausible narratives comparing an aspect of society before and after a technological innovation and inferring causation to the sudden appearance of the technical innovation† (Winter amp; Taylor, 1996, p. We will write a custom essay sample on Post-Industrial Society Effects on Organizational Change or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page ). â€Å"Because the causal role of technology has been widely accepted in Western popular culture, it is not surprising to find that computers are often identified as powerful agents of social and economic change ushering in the new post-industrial form of organization† (Winter amp; Taylor, 1996, p. 12). Huber stated that, â€Å"the following seemed clear: (1) the anticipatable large increases in knowledge will lead to large increases in technological, economic, and social specialization and diversity; these increases may be facilitated by increases in the effective numerosity of societal components, and (2) these large increases in specialization and diversity will lead to large increases in societal interdependence; these latter increases may be aggravated by increases in the demand-supply ratio of certain physical resources. As a consequence of these arguments we can conclude that in post-industrial society both the level of complexity and its absolute growth rate will be significantly greater than in the past† (Huber, 1984, p. 932). As a member of an educational organization where specialization is dominated it is clear that this theory can be proven in many different environments. In education, teachers are specialists in a specific area of learning. For example, reading specialists are experts in the most recent trends and practices of teaching reading. These specialists provide support to students that have reading difficulty in schools. Another example is the role of a content specific teacher, who only teaches one subject such as, Mathematics, English, or Science. In the late 1800s and early 1900s there was one teacher that provided instruction to several students in one classroom. An example of a shift in education that is due to diversity is the history of special education. In the early 1800s and 1900s it was believed that children with special needs should be institutionalized, Due to a social movement in the late 1960s deinstitutionalization was brought about. Children with special needs where taken out of institutions and segregated back into civilization. Next, special education classrooms or schools were created that allowed these children to learn. Finally, the most current trend is to place the student in the least restricted environment which could mean including them in the general education setting among their peers. Inclusion is becoming the law in some places, which means the majority of the time special education students are included in the regular education classrooms. The main reasons for recent shifts are social or political changes. â€Å"It can be argued that society is increasingly characterized by ever-growing levels of diversity of income, age, ethnicity, lifestyle and many other areas of social life†. All of these aspects of diversity directly affect organizational changes. Companies must take into account the needs and changing lives of those they employ. Organizations cannot discriminate against employees who may have a diverse background or those who maintain social aspect that could potentially affect their work ethics or production. Another example of a shift that is directly related to this is woman in the work place. In the 1800s this concept was unheard. Presently, several organizations are led by successful women executives. It would be socially unheard of to not accept this level of diversity in the workplace.