Question

this is urgent please answer this!!!!!

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

Hi friend!

$<marquee direction="right" behavior="alternate"><big><big><b>Answer:</b></big></big></marquee>$

$<big><b>B) 6x = 100 + 4x</b></big>$
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Because, when we don't have the membership, we'll pay $6 for 'x' number of sessions.
With the membership, we'll pay $100 first and then pay $4 for 'x' number of sessions.

We want the value of x such that in both the cases, the amount spent for x number of sessions is the same.
So in one case, without the membership, the amount payable would be 6x.
In the other case, with the membership, the amount payable would be $100 + 4x.
And both should be equal.

$So the equation obtained is <b>6x = 100 + 4x</b>.$
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$<b><i>Quick check:</i></b>$

$6x = 100 + 4x \\ 6x - 4x = 100 \\ 2x = 100 \\ x = 100 \div 2 \\ x = 50 \\ \\ \\ LHS = 6x = 6 \times 50 = 300 \\ RHS = 100 + 4x = 100 + (4 \times 50) = 100 + 200 = 300 \\ LHS = RHS$
Therefore, our answer is correct.
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Hope you found my answer helpful. Keep Smiling!

Answer 2

Hey...

✴Here's your answer..✴




The answer is C.) cause :

The words a session represent the variable x.

Without the membership, each session costs 6x.

With the $100 membership, each session costs an additional $4, or 100 + 4x. Set the two situations equal to each other to create the equation.

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