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At the end of an advertising campaign, weekly sales amounted to dollar 16,000 an

ID: 2902170 • Letter: A

Question

At the end of an advertising campaign, weekly sales amounted to dollar 16,000 and then decreased by 6% each week after the end of the campaign. Write the equation of the exponential function, in the form y = a(1 +r)x, that models the weekly sales. Find the sales 6 weeks after the end of the advertising campaign. What is the equation for the retail price? The percents of females in the workforce for selected years from 1970 to 2008 are shown in the table. Find a logarithmic function that models the data, with y the percent and x the number of years from 1960. When will the percent reach 49%, according to the model? Give the logarithmic function below. y = + In x (Type integers or decimals rounded to the nearest thousandth as needed.) Average tuition and required fees at degree-granting institutions, for graduate and first professional fields of study, for the years 1988-89 through 2009-10 are given in the table. Use the table to answer parts (a) and (b) below. Find an exponential function of the form y = a(bx) to model the data, with x equal to the number of years from 1980 to the end of the academic year (1988-89 would be x = 9) y = (Use integers or decimals for any numbers in the expression. Round to the nearest thousandth as needed.)

Explanation / Answer

a. A y = 16000(1.06)x

b. Given, x = 6

So y =$ 22696.30

Second part

a. y = 22.86 + 6.5lnx

b. Percentage will reach 49 in the year 2025

Third part

a. y = 1614.58(1.09x)