Question

andrew drove 135 miles in 3 hours. if he drove at a constant rate, how far did he travel each hour? on the double number line below, fill in the given values, then use multiplication or division to find the missing value. 0 miles hours 0

Explanation:

Step1: Identify the given values

Andrew drove 135 miles in 3 hours. So, total miles = 135, total hours = 3.

Step2: Find the unit rate (miles per hour)

To find how many miles he drove each hour, we divide total miles by total hours. So, \( \frac{135}{3} = 45 \).

Step3: Fill the double number line

• For the miles line: At 3 hours (on the hours line), the miles should be 135. At 1 hour (on the hours line), the miles should be 45 (since 135 ÷ 3 = 45).
• For the hours line: The first box (after 0) should be 1 hour (since we are finding per hour), and the second box should be 3 hours (total time). The miles line corresponding to 1 hour is 45 miles, and corresponding to 3 hours is 135 miles.

Answer:

The miles per hour is 45. So, on the double number line:

• Miles line: First box (above 1 hour) is 45, second box (above 3 hours) is 135.
• Hours line: First box (below 45 miles) is 1, second box (below 135 miles) is 3.

The distance Andrew traveled each hour is 45 miles.