A gamestop you can buy a xbox one foe 150.00 and each game to go with it would cost 24.00 or you can buy a playstation 4 for 180.00 abd esch game for 20.00

Let's write two linear equations:

For the Xbox, we have:

Price per console (you pay it only once) = $150.

Price per game = $24

Then, the total price if you buy x games, you have:

P1(x) = $150 + $24*x

For the Playstation we have:

Price per console (again yo pay it only once) = $180

Price per game = $20

So if you buy x games, the total price is:

P2(x) = $180 + $20*x.

Now, we can find the number x such that both prices are equal

P1(x) = P2(x)

$150 + $24*x =  $180 + $20*x.

let's solve this for x.

$24*x - $20*x = $180 - $150

$4*x = $30

x = $30/$4 = 7.5

What does this mean?

If you buy less than 7.5 games (7 or less) then the Xbox will be cheaper, because the y-intercept is smaller.

If you buy more than 7.5 games (8 or more) then the Playstation will be cheaper, because the price per game is smaller.

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

the answer is a

step-by-step explanation: