Math Problem Statement

What is the unit rate of the number of miles driven per number of hours of driving?

Solution

To find the unit rate of miles driven per hour, we can use the table provided in the image. The unit rate means how many miles are driven per one hour of driving.

We can calculate the unit rate using the data provided for any complete pair of miles and hours. Let's use the second row, which says 70 miles were driven in 2 hours.

To calculate the unit rate (miles per hour): Unit Rate=MilesHours=702=35 miles per hour.\text{Unit Rate} = \frac{\text{Miles}}{\text{Hours}} = \frac{70}{2} = 35 \text{ miles per hour}.

So, the unit rate is 35 miles per hour.

The answer to the question is:

  • 35 miles per hour

Would you like a more detailed breakdown or explanation?


Here are five additional questions to further your understanding:

  1. How do you calculate the unit rate if the time is not exactly 1 hour?
  2. If you drive 140 miles in 4 hours, what would be the unit rate?
  3. If the unit rate is 35 miles per hour, how far can you travel in 5 hours?
  4. What happens to the unit rate if the distance traveled increases but the time stays the same?
  5. How can we use unit rates to compare the speed of two different vehicles?

Tip: Unit rates are useful when comparing quantities directly and are often expressed per one unit of measure, such as miles per hour or cost per item.

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Math Problem Analysis

Mathematical Concepts

Rates
Unit Rates
Ratios

Formulas

Unit Rate = Miles / Hours

Theorems

Ratio and Proportion Theorem

Suitable Grade Level

Grade 6-7