Answer: option d) (1/16) (42 - x)
Step-by-step 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.