Question

Darnell has a goal to jog more than 150 miles this summer. Darnell has already jogged 29 miles. If Darnell runs an average of 3 miles each day, what is the minimum number of days, d, he will have to run to reach his goal?

A) d > 50
B) d > 40
C) d > 35
D) d > 30

Answer 1

Darnell will have to run for at least 40.33 days to reach his goal. The minimum number of days he needs to run is 41 days.

Step-by-step explanation:

To find the minimum number of days, d, that Darnell will have to run to reach his goal, we can use the formula:
d = (goal distance - already jogged distance) / average distance per day

Substituting the given values:
d = (150 - 29) / 3

Simplifying the expression:
d = 121 / 3

So, Darnell will have to run for at least 40.33 days to reach his goal. Since he cannot run for a fractional number of days, the minimum number of days he needs to run is 41 days.