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.
- Initial Mileage: The car currently has 79,000 miles.
- 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.