Question

Determine is each pair of ratios or rates is equivalent, Explain your Reasoning.

12 minutes to drive 30 laps; 48 minutes to drive 120 laps.

Answer 1

You can divide 12min.➗30lps. Then you divide 48➗120lps.
And the answer will be 12➗30=0.4 then 48➗120=0.4 and the answer is that the ratios or rates are equvalent by dividing.

Answer 2

The ratios are equivalent.

Explanation:

This problem can be solved by finding the frequencies of both data sets, i.e. finding the amount of laps that are done per minute.

First Set:

The first ratio states that 30 laps are done in 12 minutes:

`(30)/(12)`

dividing both parts of the fraction by twelve, will give the ratio in laps per minute:

`(2.5)/(1)`

Second Set:

Repeat the process, this time dividing by 48

The result:

`(2.5)/(1)`

Thus, both sets have frequencies of 2.5 laps per minute.