Question

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?

Answer 1

To represent the total number of miles \( M \) on the odometer after \( w \) weeks, you can use a linear function. The car starts with 86,391 miles and accumulates an additional 260 miles every week.

The function rule can be set up as:

\[
M(w) = 86391 + 260w
\]

Where:
- \( M(w) \) is the total number of miles on the odometer after \( w \) weeks,
- 86,391 is the initial mileage of the car,
- 260 is the number of miles accumulated each week,
- \( w \) is the number of weeks.

So, the function you are looking for is:

\[
M(w) = 86391 + 260w
\]