Question

*EXTRA POINTS- SOMEONE PLS HELP ITS AN 8TH GRADE WORD PROBLEM*

Suppose a video store charges nonmembers $4 to rent each video. A store membership costs $21 and members pay only $2.50 to rent each video. For what number of videos is the cost the same?

Answer 1

You need to rent

14

videos, and you'll pay the same amount for both. Renting

15

will make the membership a better method of payment.

Step-by-step explanation:

We can create an equation. Say the number of videos you rent is given by

n

. We can write that, if we rent

n

videos without membership, we'll have to pay

4

n

. If we rent the same amount of videos with membership, we'll have to pay

21

+

2.5

n

.

To find the value of

n

such that the amount you pay without membership is equal to the amount you pay with, we write:

4

n

=

21

+

2.5

n

1.5

n

=

21

n

=

21

1.5

n

=

14

You need to rent

14

videos, and you'll pay the same amount for both. Renting

15

will make the membership a better method of payment.