Question

Tiffany bought a used car that had 25,811 miles recorded on the odometer. If Tiffany drives 1,006 miles per month, which of the following functions represents the number of miles, M(x), that will be recorded on the odometer after x months?

a. M(x) = 1,006x + 25,811
b. M(x) = 25,811x + 1,006
c. M(x) = 1,006x
d. M(x) = 26,817x

Answer 1

The function representing the number of miles on Tiffany's odometer after x months is M(x) = 1,006x + 25,811. This linear function considers the initial odometer reading and the monthly distance driven. Option a.

Step-by-step explanation:

The question posed by the student is centered around creating a function to represent the number of miles M(x) on an odometer after x months of driving a certain number of miles each month. To find the correct function, we implement the initial value of the odometer and the rate at which Tiffany will add miles onto it.

The initial value on the odometer is 25,811 miles. Tiffany drives 1,006 miles each month. Therefore, the number of miles driven after x months would be the initial reading plus the product of the number of months and miles driven per month: M(x) = 1,006x + 25,811.

This means that option a correctly represents the situation for Tiffany's used car.