Jonas jogged up the hill at an average rate of of a mile per minute and then walked down the hill at an average rate of of a mile per minute. the round trip took him 42 minutes. what is the missing value in the table that represents the distance of the trip down the hill?

option d) (1/16) (42 - x)

Explanation:

1) You forgot to include the table.

This is the table:

                                    Rate              time                 distance
                                 (mi / min)         (min)                   (mi)

up the hill                    1/12                  x                     (1/12)x

down the hill                1/16                 42-x                     ?

2) You also forgot to include the set of answerchoices. This is it:

a) x
b) -x
c) 42 - x
d) (1/16) (42-x)

3) Solution:

The missing value is the distance of the trip down the hill.

The distance is the rate times the time, i.e.:

distance = rate * time

the rate is given as 1/16, and the time is given as 42 - x, so the distance is:

distance = (1/16) (42 - x), which is the answer.