Final answer:
The average change in field position per run for the Hawks running back is calculated to be a loss of 1 3/4 yards, making the correct answer choice D, 1 3/4 yards lost per run.
Step-by-step explanation:
To calculate the average change in field position for the running back of the Hawks football team who carried the ball 9 times for a total loss of 15 3/4 yards, we can use the following formula:
- Convert the mixed number 15 3/4 to an improper fraction, which is 63/4 yards.
- Divide the total loss by the number of carries: (63/4) ÷ 9.
- Simplify the fraction to find the average loss per run in yards.
Performing the calculation: (63/4) ÷ 9 = 63 ÷ 36 = 7 ÷ 4 = 1 3/4. Therefore, the average change in field position on each run is a loss of 1 3/4 yards.
Answer choice D, 1 3/4 yards lost per run, is the correct selection.