The number of cars (c) in a parking lot increases when the parking fee (f) decreases. How do you write the correct equation for this scenario, and solve for the number of cars when the fee is $6?

1 Answer
Jan 15, 2018

The correct equation for this scenario is # c= k xx 1/f # , where #k # is the proportionality constant.

The number of cars when the fee is $6 will be #c = k/6#

Explanation:

The number of cars (#c#) in a parking lot increases when the parking fee (#f#) decreases.

This indicates inverse variation. We can write the proportionality equation as :

# c prop 1/f#

And the equation after removing the proportionality sign can be written as :

# c= k xx 1/f # , where #k # is the proportionality constant.

The number of cars when the fee is $6 will be :

#c = k/6#