Question

Mr. Jones jogs the same route each day. The amount of time he jogs is inversely proportional to his jogging rate.

Answer 1

Answer is option C

Mr. Jones jogs the same route each day. The amount of time he jogs is inversely proportional to his jogging rate.

$time= \frac{k}{rate}$

k is the constant of proportionality

We check with each option and identify which option gives us same K value

(a) 4 mph for 2.5 hours and 6 mph for 3.75 hours

$2.5= \frac{k}{4}$ so k = 10

$3.75= \frac{k}{6}$ so k = 22.5

K values are not same

(b) 3 mph for 2 hours and 4.5 mph for 3 hours

$2= \frac{k}{3}$ so k = 6

$3= \frac{k}{4.5}$ so k = 13.5

K values are not same

(c) 4 mph for 2.5 hours and 5 mph for 2 hours

$2.5= \frac{k}{4}$ so k = 10

$2= \frac{k}{5}$ so k =10

K values are  same .

Answer is option C