Question

Ezra takes jogs throughout the week for exercise. One jog around his neighborhood is 2 miles long, and one jog on his favorite trail is 3.5 miles long. Ezra's goal is to jog at least 15 miles this week.

Which pairs (n,t) represent possible numbers of neighborhood jogs and trail jogs that would let Ezra meet his goal?

Answer 1

To find the possible pairs (n,t) that represent the numbers of neighborhood jogs and trail jogs that would let Ezra meet his goal, we need to solve the equation 2n + 3.5t = 15. By trial and error, one possible pair is (3, 2).

Step-by-step explanation:

To find the possible pairs (n,t) that represent the numbers of neighborhood jogs and trail jogs that would let Ezra meet his goal, we need to solve the following equation:

2n + 3.5t = 15

We can solve this equation by trial and error to find integer values of n and t that satisfy the equation. Here are a few possible pairs:

(3, 2): 2(3) + 3.5(2) = 6 + 7 = 13, which is less than 15

(4, 3): 2(4) + 3.5(3) = 8 + 10.5 = 18.5, which is greater than 15

(2, 4): 2(2) + 3.5(4) = 4 + 14 = 18, which is greater than 15

Therefore, the pair (3, 2) represents a possible combination of neighborhood jogs and trail jogs that would let Ezra meet his goal.