The data in the table show the variable costs of operating an automobile in the United

Chapter 0, Problem 11

(choose chapter or problem)

Automobile Costs The data in the table show the variable costs of operating an automobile in the United States for several recent years. The functions \(y_1,\ y_2\), and \(y_3\) represent the costs in cents per mile for gas, maintenance, and tires, respectively. (Source: Bureau of Transportation Statistics)

         

(a) Use the regression capabilities of a graphing utility to find cubic models for \(y_1\) and \(y_3\) and a linear model for \(y_2\).

(b) Use a graphing utility to graph \(y_1,\ y_2,\ y_3\), and \(y_{1}+y_{2}+y_{3}\) in the same viewing window. Use the model to estimate the total variable cost per mile in year 12.

Text Transcription:

y_1, y_2

y_3

y_1

y_2

y_1, y_2, y_3

y_1 + y_2 + y_3