Question

He center is consideirng signing up for an online game-rental service rather than buying the games. The table shows equipment cost and monthly fees for two services.
Equipment cost mouthy cost

Net games 99$ 8$

Equipment cost mouthy fee

anytime games 19$ 19$


1. Write and solve an inequality that represents the number of months the center could rent games from NetGames with its $175. Explain the solution in terms of the problem.


2. Write and solve an inequality to represent the number of months the center could rent games from Anytime Games. Explain the solution in terms of the problem.


3. Use your answers from 1 and 2 to justify which service the community center should purchase.

Answer 1

Answer:

see below

Step-by-step explanation:

From Netgames

175≥ 99 + 8x

Subtract 99 from each side

175-99 ≥ 99-99 + 8x

76≥  8x

Divide each side by 8

76/8 ≥  8x/8

9.5≥  x

He can get up to 9 months along with the equipment

From Anytime

175≥ 19 + 19x

Subtract 19from each side

175-19 ≥ 19-19 + 19x

156≥  19x

Divide each side by 19

156/19 ≥  19x/19

8.210526316≥  x

He can get up to 8 months along with the equipment

Since he can get more months from Netgames, he should rent from netgames

Answer 2

Answer:

The center should rent from Net games

Step-by-step explanation:

1. Net games:

175 ≥ 99 + 8x

175 - 99 ≥ 8x

76 ≥  8x

9.5 ≥  x

It can rent games for 9 and a half months

2. anytime games:

175 ≥ 19 + 19x

156 ≥  19x

8.2 ≥  x

It can rent games for 8 months

3. Since the center can rent games for a longer period of time with Net games (9.5 months compared to anytime's 8 months), it should rent from there.

Hope this helps, and please mark me brainliest if it does!