You can divide d, the distance Jordyn has driven in miles, by 50, the number of miles she drives per hour, to find t, the time she’s been driving in hours. How can you represent this rule as an expression?

Question

Distance
in miles, d
Input Output Arrow
Input Output Arrow
Time in
hours, t

Answer 1

To represent the rule that connects distance \( d \) (in miles) to time \( t \) (in hours) based on the speed of 50 miles per hour, you can express it mathematically with the formula:

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

In this expression:

• \( d \) is the input, representing the distance driven in miles.
• \( t \) is the output, representing the time in hours.

You can use input/output arrows to show the relationship between \( d \) and \( t \):

         Input                  Output
         d (distance)  ----->   t (time)
                       |
                       v
                    t = d / 50

This means for any value of \( d \), you can find \( t \) by dividing \( d \) by 50.