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Len [333]
3 years ago
5

The pool at "Splash Around" is open for 14 weeks during the summer. You can swim for $6 a session, or you can buy a membership f

or $100 and pay only $4 a session. Which equation would you use to determine how many sessions you must use the pool to justify buying the membership? A) 4x = 100 + 6x B) 6x + 4x = 100 C) 6x = 100 + 4x D) 100 - 4x = 6x
Mathematics
2 answers:
shutvik [7]3 years ago
8 0
C) 6x=100+4x
This is because since you need to justify buying a membership, you would try and equal the prices between not having a membership which is 6x and having a membership which is 100+4x
Yanka [14]3 years ago
7 0

Answer:

C) 6x=100+4x

Step-by-step explanation:

Let the number of sessions be x

Let the total payment be y

Without membership, the equation becomes:

y=6x

With membership, the equation becomes:

y=100+4x

Now to justify, $100, we will equal both to get the number of sessions.

6x=100+4x

=> 2x=100

Dividing both sides by 2;

x = 50

Hence, the right equation is : 6x=100+4x

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Lilit [14]

Answer:

Part A: 299 + 45A + 30B + 50c

Part B: 569 (or 570 if you round it up)

Step-by-step explanation:

Part A:

Because there is no variable for the number of PlayStation 4s, let's assume that there is only one. That will be 299.

If A is the number of wireless controllers and each wireless controller is worth 45 dollars each, the price for the wireless controller(s) is 45A.

If B is the number of wireless controller charging stations and each wireless controller charging station cost 30 dollars, then the price of the wireless controller charging station(s) is 30B

If C is the number of games and each game cost 50 dollars, then the price of the game(s) is 50C

Put that all together, and we get 299 + 45A + 30B + 50c.

Part B:

Let's plug the numbers into the formula.

A = 2

B = 1

C = 3

299 + 45A + 30B + 50c = 299 + 90 + 30 + 150 = 569\ dollars

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