Chapter 1.1, Problem 62E

Women in the Workforce Using data starting with1950 and projected to 2050, the number of women(in millions) in the workforce is given by the functionP = 0.79x + 20.86, where x equals the number ofyears after 1950.a. Find the value of P when x = 70. Explain whatthis means.b. What value of x represents 2030? Use the model tofind the number of women in the workforce in 2030.(Source: U.S. Census Bureau)

Studies have shown that the number of accidents a driver has varies with the age of the driver, and is highest for very young and very old drivers. The number of serious accidents for drivers of age x during a recent year was approximately f(x) = 0.013x2 − 1.46x + 48 for 16 ≤ x ≤ 85.  Find the age that has the least accidents, rounding your answer to the nearest year. x =

A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. The graph below shows how the volume of the box in cubic inches, V, is related to the length of the side of the square cutout in inches, x. Suppose the largest possible cutout length is 3.5 inches. Over what interval of xx does the volume of the box decrease as the cutout length gets larger? (Enter your answer as an interval.)

An electric current can be represented by the function y=2cos(2π(x−0.02)), with time in x seconds. How many times does the current reach a value of 1 on the interval 0<x<5? Group of answer choices 12 6 8 10

Find the point of diminishing returns for the function, where R is the revenue (in thousands of dollars) and x is the advertising cost (in thousands of dollars). Use a graphing utility to verify your results. R = − 1/4x3 + 3x2 + 8,   0 ≤ x ≤ 8 (x, R) =