Question

Unit 7 Sample Work Retake
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Question
A car currently has 79,000 miles on the odometer, and is accumulating an average of 320 more miles each week. What is the function rule that represents the total number of M miles that the care will have on the odometer after w weeks?
Responses

w is equal to 79 comma 000 plus 320 m

cap m times w is equal to 79 comma 000 plus 320 w

cap m times w is equal to 79 comma 000 m plus 320 w

cap m times w is equal to 79 comma 000 w plus 320

Answer 1

To find the function rule that represents the total number of miles \( M \) on the odometer after \( w \) weeks, we need to consider the initial mileage and how much mileage is added each week.

1. **Initial Mileage**: The car currently has 79,000 miles.
2. **Mileage Accumulation**: The car accumulates 320 miles per week.

So, after \( w \) weeks, the total mileage \( M \) can be expressed as:

\[
M = 79,000 + 320w
\]

Now, looking at the provided options, we can identify the correct format. The function rule should show that \( M \) is equal to the initial mileage plus the mileage added over \( w \) weeks.

The correct response is:

**cap M times w is equal to 79,000 plus 320 w**

This matches our derived function rule.