You can multiply t, the time in hours, by 50 miles per hour to find d, the total distance Chloe drives in miles. How can you represent this rule with an expression?

t, the time in hours
Input Output Arrow
Input Output Arrow
d, the distance in miles

1 answer

You can represent the relationship between time (t) in hours and distance (d) in miles with the expression:

\[ d = 50t \]

In this expression:

  • \( d \) is the total distance in miles,
  • \( t \) is the time in hours, and
  • 50 miles per hour is the rate at which Chloe drives.

This means that for any value of \( t \), you can find the distance \( d \) she drives by multiplying \( t \) by 50.

Using an input-output arrow format, it could look like this:

Input: \( t , (\text{time in hours}) \)
Output: \( d = 50t , (\text{distance in miles}) \)

or simply,

Input \( t \) → Output \( d = 50t \)