Critical Thinking A power function is a function of the form y = cxa, where c and a are constants.
a. What is the relationship between ln y and x for a power function?
b. The distance that a person can see from an airplane depends on the altitude of the airplane, as shown in the table below.
Let x be the altitude of the airplane in meters and let y be the viewing distance in kilometers. Linearize the data.
c. Find a linear regression equation for the linearized data.
d. Solve the linear regression equation for y to obtain a power function that gives y in terms of x.