Answer: Use a calculator with an ex key to solve Exercises 7176.The bar graph shows the

Chapter 4, Problem 73

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Use a calculator with an ex key to solve Exercises 7176.The bar graph shows the percentage of U.S. high school seniorswho applied to more than three colleges for selected years from1980 through 2013.The data can be modeled byf(x) = x + 31 and g(x) = 32.7e0.0217x,in which f(x) and g(x) represent the percentage of high schoolseniors who applied to more than three colleges x years after1980. Use these functions to solve Exercises 7172. Wherenecessary, round answers to the nearest percent.In college, we study large volumes of informationinformation that, unfortunately, we do not often retain forvery long. The functionf(x) = 80e-0.5x + 20 describes the percentage of information, f(x), that a particularperson remembers x weeks after learning the information.a. Substitute 0 for x and, without using a calculator, find thepercentage of information remembered at the moment itis first learned.b. Substitute 1 for x and find the percentage of informationthat is remembered after 1 week.c. Find the percentage of information that is rememberedafter 4 weeks.d. Find the percentage of information that is rememberedafter one year (52 weeks).