Question

Peter and Jacob are members of different video game libraries. Peter pays a membership fee of $45, and he pays $6 for every video game he rents. The following function shows the total amount of money, y, in dollars, that Jacob pays for renting x number of video games. y = 5x + 25

How many more dollars does Peter pay for a membership fee than Jacob? (5 points)


$11

$20

$25

$45

Answer 1

To find the answer, we need to calculate the difference between the membership fee that Peter pays and the amount that Jacob pays.

For Peter, the membership fee is $45.

For Jacob, the function y=5x+25 represents the amount he pays for renting x number of video games.

To calculate the difference, we need to substitute x=0 into the function and then find the difference between this result and $45.

Substituting x=0 into the function y=5x+25 gives:
y = 5(0) + 25
y = 0 + 25
y = 25.

Therefore, Jacob pays $25 for renting no video games.

The difference between $45 and $25 is $45 - $25 = $20.

Therefore, Peter pays $20 more than Jacob for his membership fee.

The answer is $20.