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

Input Output Arrow
d, the distance in miles

Answer 1

To find the distance \( d \) that Jasmine hiked in miles after spending \( t \) hours hiking at a constant rate of 5 miles per hour, you can use the following rule:

\[
d = 5t
\]

Where:
- \( d \) is the distance in miles.
- \( t \) is the time in hours.

Here’s how you can represent this in an input-output format:

**Input**: \( t \) (time in hours)
**Output**: \( d \) (distance in miles)

In this format:

\[
t \xrightarrow{(5 \text{ miles/hour})} d
\]

For example:
- If \( t = 2 \) hours, then \( d = 5 \times 2 = 10 \) miles.
- If \( t = 3 \) hours, then \( d = 5 \times 3 = 15 \) miles.

This represents a linear relationship between time and distance.