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Question

A new exercise facility recently opened up. Its initial promotional rate for new members, represented by y = $20 +$6x, includes a monthly fee plus an additional amount for x services.

How many services do new members receive before paying the same amount as a regular fee of $32?

Solution

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Answered 2 years ago
Answered 2 years ago
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Substituting y=32y=32, then the number of services that new members receive before paying the same amount as regular fee is

32=20+6x6x=12x=2 services.\begin{align*} 32&=20+6x\\ -6x&=-12\\ x&=2 \text{ services} .\end{align*}

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