Question

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?

Answer 1

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`