Question

Identify the domain and range of each situation using words and inequalities. Peyton is training to run a half-marathon. One night, she runs a total of 10 miles. She runs the first 4 miles at a pace of 6 miles per hour, the next 5 miles at a pace of 7 miles per hour, and the last mile at a pace of 4 miles per hour.

Answer 1

Domain:

number of miles run

0 ≤ x ≤ 10

Range:

pace at which she runs:

4 ≤ y ≤ 7

Explanation:

Given:

Peyton runs a total of 10 miles.

She runs first 4 miles at a pace of 6 miles per hour

She runs the next 5 miles at a pace of 7 miles per hour

She runs the last mile at a pace of 4 miles per hour

Solution:

The domain is the number of miles run by Peyton.

Here Peyton runs a total of 10 miles

So the domain using inequality is:

0 ≤ x ≤ 10

The range is the pace at which Peyton runs in miles per hour.

Since given that she runs at a pace of 6, 7 and 4 miles per hour so the range is from 4 to 6.

So the range is represented in the following way using inequality:

4 ≤ y ≤ 7