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?
a. (0, 5)
b. (-2, 6)
c. (4, 2)
d. (1, 4)
To determine which pairs (n,t) represent possible numbers of neighborhood jogs and trail jogs, we need to check if the total distance covered by Ezra is at least 15 miles for each pair.
a. (0, 5)
0 neighborhood jogs * 2 miles + 5 trail jogs * 3.5 miles = 17.5 miles
This pair allows Ezra to meet his goal.
b. (-2, 6)
This pair has a negative value for the number of neighborhood jogs, which is not possible.
c. (4, 2)
4 neighborhood jogs * 2 miles + 2 trail jogs * 3.5 miles = 17 miles
This pair allows Ezra to meet his goal.
d. (1, 4)
1 neighborhood jog * 2 miles + 4 trail jogs * 3.5 miles = 16 miles
This pair allows Ezra to meet his goal.
Therefore, the possible pairs (n,t) that represent the numbers of neighborhood jogs and trail jogs that would let Ezra meet his goal are:
a. (0, 5)
c. (4, 2)
d. (1, 4)