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.

Respuesta :

Answer:

B) Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4

Step-by-step explanation:

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?

B) Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4....

Answer:

Option B.

Step-by-step explanation:

A bicyclist rides the same number of miles in one minute.

Ratio table is given as

Number of minutes    Distances (miles)

       10                                   2.5

        16                                   4

        x                                    7.5

       48                                  12

We have to find the number of minutes taken by a biker to bike 7.5 miles

So the ratio between minutes to the distance biked will be = [tex]\frac{10}{2.5}=4:1[/tex]

Now this ratio will be similar to the ratio = [tex]\frac{x}{7.5}=x:7.5[/tex]

Now [tex]\frac{4}{1}=\frac{x}{7.5}[/tex]

x = 7.5×4 = 30 minutes

Therefore, Option B will be the answer.