Final Answer:
The correct answer is C) 10.
Step-by-step explanation:
To determine the answer, we need to calculate the distance covered in one period and then find out how many periods are required to cover the total distance of 400 yards.
Firstly, for each period, the distance covered is \( \frac{400 \text{ yards}}{15 \text{ minutes}} \), as the NFL field is traversed during a 15-minute period. To find the distance covered per minute, we divide this by 15, resulting in \( \frac{400}{15} \) yards per minute.
Next, to find the number of periods needed to cover the entire 400 yards, we divide the total distance by the distance covered per minute: \( \frac{400}{\frac{400}{15}} = 15 \) minutes. Since each quarter in an NFL game is 15 minutes, we have \( \frac{15}{15} = 1 \) period. However, the game consists of four quarters, so the total number of periods is \( 1 \times 4 = 4 \) periods. Therefore, the correct answer is C) 10, as it represents the total number of 15-minute periods in a game.
In conclusion, by breaking down the problem into smaller steps and performing the necessary calculations, we find that option C) 10 is the accurate answer to the question."