Question

ordyn drives at a constant speed of 50 miles per hour.
If you know how long Jordyn has been driving, can you figure out her distance? In other words, is the distance that she drives a function of how many hours she has been driving?
Time in
hours
Input Output Arrow
?
Input Output Arrow
Distance
in miles
Jordyn’s distance
a function of the amount of time she has been driving.

Answer 1

Yes, Jordyn's distance can be expressed as a function of the time she has been driving. Since she drives at a constant speed of 50 miles per hour, the relationship between time (in hours) and distance (in miles) can be described by the formula:

\[ \text{Distance} = \text{Speed} \times \text{Time} \]

In this case:

- Speed = 50 miles per hour
- Time = \( t \) (in hours)

So the distance function \( D(t) \) can be expressed as:

\[ D(t) = 50t \]

Here:
- \( t \) is the input (the time in hours),
- \( D(t) \) is the output (the distance in miles).

This means that for any given time \( t \), you can determine the distance Jordyn has driven by multiplying \( t \) by 50. Thus, the distance that she drives is indeed a function of the amount of time she has been driving.