Question

Jacob is training for a marathon, running the same distance for three days a week and decreasing the distance by the same amount each week during six weeks of training. He runs 14 miles per day, which is 1.5 miles more per day than he did during week five. Which equation represents the daily running distance in miles as a function of time (weeks)?

A.d(w) = 14-1.5w
B.d(w) = 14+ 1.5w
C. d(w) 14w- 1.5
D. d(w) 14w+ 1.5

Answer 1

The equation that represents the daily running distance for Jacob's marathon training as a function of time in weeks is d(w) = 14 - 1.5w, where w is the number of weeks.

Step-by-step explanation:

The student is asking for the equation that represents daily running distance in miles as a function of time in weeks (d(w)) for a marathon runner's training regimen. Given that Jacob runs 14 miles per day during the sixth week, which is 1.5 miles more per day than during the fifth week, the daily distance decreases by 1.5 miles each week. Therefore, the correct equation to represent the distance he runs each day after a certain number of weeks is:

d(w) = 14 - 1.5w

This equation shows that for each week w, the daily running distance is 14 miles minus 1.5 miles multiplied by the number of weeks.