Question

A manager wishes to predict the annual cost (y) of an automobile based on the number of miles (x) driven. The following model was developed: y= 1,550 + 0.36x. If a car is driven 15,000 miles, the predicted cost is ____________.

a. 2090
b. 3850
c. 7400
d. 6950
e. 5400

Answer 1

Using the linear model y = 1,550 + 0.36x, the predicted annual cost for a car driven 15,000 miles is calculated to be $6,950, matching option d in the multiple-choice question.

Step-by-step explanation:

The student is asking for the predicted annual cost of maintaining an automobile based on the number of miles driven. The model provided is y = 1,550 + 0.36x, where y represents the annual cost and x is the number of miles driven. To find the predicted cost for 15,000 miles, we substitute x with 15,000 in the equation and perform the calculation: y = 1,550 + 0.36(15,000).

y = 1,550 + 5,400 = 6,950.

Therefore, the predicted annual cost for a car driven 15,000 miles is $6,950, which corresponds to option d.