Concept explainers
Reminder Round all answers to two decimal places unless otherwise indicated.
High School Graduates The following table shows the number, in millions, graduating from high school in the United States, in the given year.
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a. Explain in practical terms what
b. Use functional notation to express the number of graduates in
c. Find the average rate of change per year during the period
d. Estimate the value of
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Chapter 1 Solutions
EBK FUNCTIONS AND CHANGE: A MODELING AP
- Minimum Wage The table below is taken from the website of the U.S. Department of Labor. It shows the minimum wage for each decade from 1950 to 2010. The figures are adjusted for inflation and expressed in constant 2012 dollars. y=Year m=Minimumwage 1950 7.01 1960 7.59 1970 9.28 1980 8.46 1990 6.66 2000 6.90 2010 7.67 a. Find the value of m(1990). b. Use functional notation to express the minimum wage in 1985. c. Use the table to estimate the minimum wage in 1985. The actual value was 7.09.arrow_forwardMortgage Rates The following table is taken from the website of Freddie Mac. It shows rates for 30-year fixed-rate mortgages since 1970. y=Year r=Mortgagerate 1975 9.05 1980 13.74 1985 12.43 1990 10.13 1995 7.93 2000 8.05 2005 5.87 2010 4.69 2015 3.84 a. Explain in practical terms the meaning of r(2003). b. Use the table to estimate the value of r(2003).arrow_forwardOutpatient Visits According to the data from the American Hospital Association, the rate of change in the number of hospital outpatient visits, in millions, in the United States each year from 1980 to the present can be approximated by f(t)=0.001483t(t1980)0.75 where t is the year. Source: Hospital Statistics. a. Using the fact that in the 1980 there were 262,951,000 outpatient visits, find a formula giving the approximate number of outpatient visits as a function of time. b. Use the answer to part a to forecast the number of outpatient visits in the year 2015.arrow_forward
- What Formulas Mean In Exercises S-25 through S-33, you are asked to relate functional notation to practical explanations of what certain functions mean. Time to Pay Off a Loan The function T(P,r,m) gives the time required to pay off an installment loan of P dollars if the APR is r as a decimal and we make monthly payments of in dollars. Use functional notation to indicate the time required to pay off a 12,000 automobile loan at an APR of 5 if the monthly payment is 450.arrow_forwardOzone Depletion According to an article in the New York Times, "Government scientists reported last week that they had detected a slowdown in the rate at which chemicals that deplete the earths protective ozone layer are accumulating in the atmosphere." Letting c(t) be the amount of ozone-depleting chemicals at time t, what does this statement tell you about c(t), c(t) and c(t)? Source: The New York Times.arrow_forward
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