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.

Question

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 program with a function, we can define a function \( f(x) \) where \( x \) is the number of shorter track workouts she does, and \( f(x) \) is the total miles run in a week.

The function can be expressed as:

\[ f(x) = 14 + 3x \]

Here:

• \( 14 \) represents the miles from her long run.
• \( 3 \) represents the miles from each shorter track workout.
• \( x \) represents the number of shorter track workouts.

Now, to find out how many miles Anne will have run after 1 long run and 5 shorter track workouts, we substitute \( x = 5 \) into the function:

\[ f(5) = 14 + 3(5) \] \[ f(5) = 14 + 15 \] \[ f(5) = 29 \]

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