Answer
Find out the constant of variation.
To prove
Definition of constant of variation
The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another .
As given
It took Peter 3 hours to drive to his friend in Connecticut when he was driving with the average speed 54 mph .
Thus
As the distance between Peter to his friend in Connecticut always be same.
Let us assume that d is the between Peter to his friend in Connecticut .
Here constant of variation is d .
Formula
[tex]Speed = \frac{Distance}{Time}[/tex]
Distance = d
Time = 3
Speed = 54mph
Put in the formula
[tex]54 = \frac{d}{3}[/tex]
[tex]d= 54\times 3[/tex]
d = 162 m
Therefore the constant of variation d is 162 m.
