Question

College Graduates - Michigan Using Linear Function Models 99 Using the concepts in this worksheet, you will be able to use linear function models and use rates of change to forecast unknown results When am I ever going to use this? he percentage of Michigan residents with college degrees has been increasing since 1990. Based on data from 1990 through 1996, the percentage of residents 25 years and older who are college graduates may be modeled by T G(t) 0.544t +17.5 percent where t is the number of years since 1990 (Source: Modeled from Statistical Abstract of the United States 2008, Table 221) 1. What is the slope of the linear model and what does it represent in this context? 2. According to the model, in what year did the percentage of residents 25 years and older who are college graduates first exceed 26 percent? 3. According to the model, what percentage of Michigan residents who are 25 years and older will be college graduates in 2009? Round your answer to the nearest tenth of a percent. Math 107 Workbook 67 4. The percentage of Utah residents 25 years and older who are college graduates was 22.3 percent in 1990. As of the end of 2006, the number had grown to 27.0 percent. Create a linear function model for the percentage of Utah residents 25 years and older who are college graduates. 5. Graph the linear function models for the percentage of residents 25 years and older who are college graduates for Michigan and Utah on the axes below. 6 8 10 12 14 16 18 20 22 24 Years (Since 1990) 6. Referring to the graphs of the linear models in Exercise 5, estimate the year in which the percentage of residents 25 years and older with college degrees in Michigan will equal the percentage of residents 25 years old and older with college degrees in Utah. 68 Math 107 Workbook Percent of People 25+ Years Old

Answer 1

Eiren model is GCt)I05444 t 7:5 percent Slepe in wris modlel is O. 544 Slope of a line gennally deacriko keth the clirection and steeneas dn this centext slope sepreo ents the encsiament in the number of seaidens urth collepe degree ie the direetion and stepnes y he heumbeu af esident who aue Change in callege gradiates Slepe here sepsresents the direchion and stepnes of percentage fsi dents 25 yeau or inireanent in cellege graduates aidu uho are