Question

Anne is training for a half marathon. Her weekly training program includes a long run on one day and shorter track workouts on the other days. This week, Anne's long run is 14miles long, and each of her shorter track workouts is 3miles long.
Which function could model this situation?
How many miles will Anne have run after 1 long run and 5 shorter track workouts?
miles

Answer 1

To model Anne's training situation, we can create a function that represents the total miles logged based on the number of long runs and shorter track workouts.

Let:
- \( L \) = number of long runs (each long run is 14 miles)
- \( S \) = number of shorter track workouts (each track workout is 3 miles)

The function to model the total miles \( M \) run can be represented as:
\[
M(L, S) = 14L + 3S
\]

Now, let's calculate how many miles Anne will have run after 1 long run and 5 shorter track workouts:

Given:
- \( L = 1 \)
- \( S = 5 \)

Plugging these values into the function:
\[
M(1, 5) = 14(1) + 3(5)
\]
\[
M(1, 5) = 14 + 15
\]
\[
M(1, 5) = 29
\]

Therefore, after 1 long run and 5 shorter track workouts, Anne will have run **29 miles**.