Pierre runs the same distance around a track each day, 4 days a week. He runs a total of 12 miles each week. If it takes 8 laps of the track to equal a mile, how many laps does Pierre run each day?

Which equation could you use to help solve this problem?

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]

To solve the problem, let's break it down step-by-step:

1. Determine the Miles Pierre Runs Each Day:

Pierre runs a total of 12 miles each week. He runs 4 days a week. To find out how many miles he runs each day, we divide the total weekly miles by the number of days he runs:

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

2. Convert Miles to Laps Per Day:

We know it takes 8 laps to complete one mile. To find out how many laps Pierre runs each day, we multiply the miles he runs per day by the number of laps per mile:

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

3. Select the Correct Equation:

We're trying to find the equation that matches our calculations. Based on the steps above, the calculation of laps per day is represented by multiplying the miles per day (3) by the number of laps per mile (8). This corresponds to the equation:

[tex]\[
\text{Option (C)}: y = 3 \times 8
\][/tex]

Thus, Pierre runs 24 laps each day, and the equation that can be used to solve this problem is option (C) [tex]\( y = 3 \times 8 \)[/tex].