ou can multiply t, the time Jordyn has driven in hours, by 50 to find d, the distance she has driven in miles. How can you represent the rule "Multiply by 50" with an expression using the variable for time in hours, t?

Question

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

Answer 1

To represent the rule "Multiply by 50" using the variable for time in hours, \( t \), you can create an expression that relates time to distance.

Given that the distance \( d \) is calculated by multiplying the time \( t \) (in hours) by 50 (the rate in miles per hour), you can express this relationship as:

\[ d = 50t \]

Here's how the representation breaks down:

• Input: Time in hours, \( t \)
• Output: Distance in miles, \( d \)
• Expression: \( d = 50t \)

In a format with input, output, and an arrow, it would look like:

Time in hours, t  -->  d = 50t  -->  Distance in miles, d

This shows that for every hour \( t \) Jordyn drives, she covers 50 miles, thus calculating the total distance \( d \).