The percentage of Michigan residents with college degrees has been increasing since 1990.?

College Graduates - Michigan Using Linear Function Models 66 When am I ever going to use this?" Using the concepts in this worksheet, you will be able to use linear function models and use rates of change to forecast unknown results. The 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 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. 68 L Math 107 Workbook Percent of People 25+ Years Old SPRENGASINAN 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. 4 6 8 10 12 14 16 18 20 22 24 Years (Since 1990)