Question

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 for $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

Answer 1

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

Answer 2

C)
`6x=100+4x`

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`