Question

The distance Jasmine hikes is a function of the amount of time she spends hiking. Jasmine hikes 5 miles per hour. Assume she hikes at a constant rate.
What rule could you use to find d, the distance Jasmine hiked in miles, after t, the time in hours?
t, the time in hours
Input Output Arrow

Multiply by 5
Input Output Arrow
d, the distance in miles
Great job!
You can multiply t, the time in hours, by 5 miles per hour to find d, the total distance Jasmine hikes 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

Answer 1

To represent the relationship between the time Jasmine hikes (t) and the distance she hikes (d) as an expression, you can use the following formula:

\[
d = 5t
\]

Here, \( d \) represents the distance in miles that Jasmine hikes, \( t \) represents the time in hours she spends hiking, and the factor of 5 reflects her hiking speed of 5 miles per hour.

So, you would have:

- **Input:** \( t \) (the time in hours)
- **Output:** \( d = 5t \) (the distance in miles)