Question

What equation represents this function? Complete the equation with the expression that can be used to find the number of hours Jordyn has been driving, t, given any distance that she has driven, d.
Distance
in miles, d
Input Output Arrow
50
d
​

Input Output Arrow
Time in
hours, t


t =

Answer 1

To find the equation that relates the distance Jordyn has driven (d) to the time (t) she has been driving in hours, we'll need to use the concept of speed.

Assuming Jordyn drives at a constant speed, we can use the formula:

\[ d = r \cdot t \]

where:
- \( d \) is the distance driven in miles,
- \( r \) is the speed in miles per hour, and
- \( t \) is the time in hours.

If we want to solve for time \( t \), we can rearrange the equation to:

\[ t = \frac{d}{r} \]

Now, if we know her driving speed \( r \), we can substitute it into the equation. For example, if Jordyn is driving at a speed of 50 miles per hour, then the equation would be:

\[ t = \frac{d}{50} \]

So the complete equation to find the number of hours \( t \) given any distance \( d \) is:

\[ t = \frac{d}{r} \]

Just replace \( r \) with the actual constant speed if known.