High School

Confirm that the quantities are proportional in the following rates:

- 75 miles in 5 hours
- 97.5 miles in 6.5 hours

Answer :

Final answer:

The quantities are proportional in both rates because their rates are equal.

Explanation:

To determine if two quantities are proportional, we compare their rates. The rate is calculated by dividing the quantity by the time it takes to achieve it. Let's calculate the rates for both scenarios:

Rate for the first scenario: 75 miles / 5 hours = 15 miles/hour

Rate for the second scenario: 97.5 miles / 6.5 hours = 15 miles/hour

Since both rates are equal, we can conclude that the quantities are proportional.In this case, we have 75 miles/5 hours vs 97.5 miles/6.5 hours. Upon reducing, we get 15 miles/hour vs 15 miles/hour. Since these simplified rates are the same, the quantities are indeed proportional.

Learn more about Proportional Quantities here:

https://brainly.com/question/18319747

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