A car has 86,391 miles on its odometer and accumulates an average of 260 more each week. What is the function rule that represents the total number of M miles the car will have on the odometer after w weeks?
A. M (w) = 86,391 + 260
B. M (w) = 86,391w + 260
C. M (w) = 86,391w + 260w
D. M (w) = 86,391 + 260w
The correct answer is D. M (w) = 86,391 + 260w.
The function rule represents the total number of miles (M) the car will have on the odometer after w weeks. The car already has 86,391 miles on the odometer, so that is the constant part of the function. The car accumulates an average of 260 more miles each week, so that is the coefficient of the w (weeks) variable in the function. Therefore, the correct function rule is M (w) = 86,391 + 260w.