Question

Jessica and Nancy are members of different video game libraries. Jessica pays a membership fee of $40, and she pays $5 for every video game she rents. The following function shows the total amount of money, y, in dollars, that Nancy pays for renting x number of video games: y = 4x + 30.

How many more dollars does Jessica pay for a membership fee than Nancy?

Answer 1

Jessica pays a membership fee of $40 so that's given to us Jessica has a membership fee of $40 (given)
Nancy has a membership fee of $30 (y intercept of the equation)
so how much is jessica going to pay is $10 more than Nancy

Answer 2

Jessica pays $10 more than Nancy for membership fee.

Explanation:

Jessica pays a membership fee of $40, and she pays $5 for every video game she rents.

So, we can write this as :

`y=5x+40`

'x' is the number of games rented.

And equation for Nancy is :

`y=4x+30`

If we look at the equations we can find that, the numbers 40 and 30 are constant i.e the membership fee.

And 5x and 4x are variable terms that change with the number of games rented.

So, Nancy's membership fee is $30. This is
`40-30=10` dollars less than Jessica.

Therefore, Jessica pays $10 more than Nancy for membership fee.