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Which of the following examples has a unit rate of 32 miles per hour? Select all that apply. A) 123 miles in 3 hours B) 96 miles in 3 hours C) 288 miles in 9 hours D) 66 miles in 2 hours E) 310 miles in 10 hours

Ask by Pena Warner. in the United States
Jan 24,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

The examples with a unit rate of 32 miles per hour are B) 96 miles in 3 hours and C) 288 miles in 9 hours.

Solution

To determine which examples have a unit rate of **32 miles per hour**, we can calculate the rate for each option by dividing the miles by the hours: - **A) 123 miles in 3 hours** \[ \frac{123 \text{ miles}}{3 \text{ hours}} = 41 \text{ miles per hour} \] *Not 32 miles per hour.* - **B) 96 miles in 3 hours** \[ \frac{96 \text{ miles}}{3 \text{ hours}} = 32 \text{ miles per hour} \] *Correct.* - **C) 288 miles in 9 hours** \[ \frac{288 \text{ miles}}{9 \text{ hours}} = 32 \text{ miles per hour} \] *Correct.* - **D) 66 miles in 2 hours** \[ \frac{66 \text{ miles}}{2 \text{ hours}} = 33 \text{ miles per hour} \] *Not 32 miles per hour.* - **E) 310 miles in 10 hours** \[ \frac{310 \text{ miles}}{10 \text{ hours}} = 31 \text{ miles per hour} \] *Not 32 miles per hour.* **Therefore, the examples with a unit rate of 32 miles per hour are:** - **B) 96 miles in 3 hours** - **C) 288 miles in 9 hours**

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The Deep Dive

To find the unit rate, you divide the total miles by the hours taken. A) 123 miles in 3 hours = 123 ÷ 3 = 41 miles per hour. B) 96 miles in 3 hours = 96 ÷ 3 = 32 miles per hour. C) 288 miles in 9 hours = 288 ÷ 9 = 32 miles per hour. D) 66 miles in 2 hours = 66 ÷ 2 = 33 miles per hour. E) 310 miles in 10 hours = 310 ÷ 10 = 31 miles per hour. So, the options with a unit rate of 32 miles per hour are B) 96 miles in 3 hours and C) 288 miles in 9 hours. Now go grab your calculator, because math can be your best friend! Remember, real-life scenarios often need quick calculations—like figuring out how fast you can get to a party and impress the crowd with your number skills! Math is everywhere!

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