Final answer:
To calculate the distance Will threw the ball, you multiply the total distance of the field (42 yards) by the fraction of the distance he threw (7/8). The calculation reveals that Will threw the ball 36.75 yards, corresponding to answer choice a).
Step-by-step explanation:
The student's question involves finding out how far Will threw the ball if he managed to throw it 7/8 of the way across a 42-yard field. To find the distance that Will threw the ball, we multiply the total distance of the field (42 yards) by the fraction of the distance he threw (7/8):
Distance thrown = Total distance × Fraction thrown
Distance thrown = 42 yards × ⅗/8
Calculating this, we get:
Distance thrown = 42 yards × 0.875
Distance thrown = 36.75 yards
Therefore, the correct answer is a) 36.75 yards.