A bicyclist rides the same number of miles every minute. The ratio table below shows the number of miles she rides during certain amounts of time.

Biking Times and Distances
Number of Minutes
Number of Miles
10
2.5
16
4
?
7.5
48
12

Which statement explains how to find the number of minutes it takes to bike 7.5 miles?
Find the ratio of minutes to miles, 4:1. Divide 7.5 by 4.
Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4.
Find the difference between 16 and 10. Add the difference to 16.
Find the difference between 16 and 10. Add the difference to 7.5.

1 answer

To find the number of minutes it takes to bike 7.5 miles based on the given ratio of minutes to miles, we should first identify the correct ratio from the data provided.

From your table:

  • For 10 minutes, the bicyclist rides 2.5 miles.
  • For 16 minutes, the bicyclist rides 4 miles.

We can see that for every 2.5 miles, it takes 10 minutes. This means the ratio of minutes to miles is:

  • 10 minutes : 2.5 miles can be simplified to 4:1 (since 10 ÷ 2.5 = 4).

Now to find how many minutes it takes to ride 7.5 miles, we can use the ratio 4:1, where 4 represents minutes for every mile:

So, we take 7.5 miles and multiply by the ratio: \[ 7.5 \text{ miles} \times 4 \left(\frac{\text{minutes}}{\text{mile}}\right) = 30 \text{ minutes} \]

Thus, the correct statement explaining how to find the number of minutes it takes to bike 7.5 miles is: Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4.