Question

Jordyn drives at a constant speed of 50 miles per hour.
You 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?
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 distance \( d \) to time \( t \).

Since Jordyn drives at a constant speed of 50 miles per hour, the distance \( d \) can be represented as:

\[ d = 50t \]

Here's how you can format it using an input-output arrow:

```
Time in hours, t → Distance in miles, d
↑
|
d = 50t
```

In this representation:
- The input is the time in hours \( t \).
- The output is the distance in miles \( d \).
- The expression \( d = 50t \) shows how to calculate \( d \) based on the value of \( t \).