*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?

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.

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.

answer: haha (: i’ll go see what it is

step-by-step explanation:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!