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Pierre runs the same distance around a track each day, 4 days a week. He runs a total of 12 miles each week. It takes 8 laps of the track to equal a mile. Which equation could you use to find how many laps Pierre runs each day?

A. [tex]y = 8 \div 4[/tex]

B. [tex]y = 12 \div 2[/tex]

C. [tex]y = 3 \times 8[/tex]

D. [tex]y = 4 \times 8[/tex]

Answer :

First, we determine how many miles Pierre runs each day. Since he runs a total of [tex]$12$[/tex] miles per week over [tex]$4$[/tex] days, we have:

[tex]$$
\text{Miles per day} = \frac{12}{4} = 3
$$[/tex]

Next, knowing that [tex]$8$[/tex] laps equal [tex]$1$[/tex] mile, we calculate the number of laps he runs each day by multiplying the number of miles he runs per day by the number of laps per mile:

[tex]$$
\text{Laps per day} = 3 \times 8 = 24
$$[/tex]

Thus, the correct equation to find the number of laps Pierre runs each day is:

[tex]$$
y = 3 \times 8
$$[/tex]

So, the answer is (C) [tex]$y=3 \times 8$[/tex].

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