Answer:
Linear model representing the total distance she ran and walked, d, as a function of time, t, can be expressed as:
d(t) = 1 + 3.5t
Explanation:
To represent the total distance Janie ran and walked as a function of time, we need to consider two components: the distance she walks to the running track and the distance she runs on the track.
Distance walked to the running track: Janie walks 1 mile to reach the track. This distance remains constant regardless of the time she spends running.
Distance run on the track: Janie runs at a speed of 3.5 miles per hour. The distance she runs can be calculated by multiplying her running speed (3.5 miles/hour) by the time she spends running (t hours).
Therefore, the linear model representing the total distance she ran and walked, d, as a function of time, t, can be expressed as:
d(t) = 1 + 3.5t
Here, the constant term '1' represents the distance she walks to the track, and '3.5t' represents the distance she runs on the track, where t is the time she spends running in hours.