Answer :
Step 1: Determine how many miles Pierre runs each day. Since he runs a total of $12$ miles in $4$ days, the number of miles run per day is
$$
\frac{12}{4} = 3 \text{ miles per day}.
$$
Step 2: Calculate the number of laps he runs per day. We know that $8$ laps equal $1$ mile. Therefore, to find the number of laps corresponding to $3$ miles, we multiply:
$$
3 \times 8 = 24 \text{ laps per day}.
$$
The equation that represents this calculation is
$$
y = 3 \times 8.
$$
Thus, the correct answer is option (c).
$$
\frac{12}{4} = 3 \text{ miles per day}.
$$
Step 2: Calculate the number of laps he runs per day. We know that $8$ laps equal $1$ mile. Therefore, to find the number of laps corresponding to $3$ miles, we multiply:
$$
3 \times 8 = 24 \text{ laps per day}.
$$
The equation that represents this calculation is
$$
y = 3 \times 8.
$$
Thus, the correct answer is option (c).