You are going to join a gym and there are two options close to your workplace. gym a charges you a flat rate of $39.95 per month. gym b charges you $14.95 per month plus $2.95 per visit.

We make sample calculations per month, assuming that you visit the gym x times per month.

(1) $39.95 per month
(2) total = $14.95 + $2.95x

If we have the value of x, it is much easier for us to determine the answer by just substituting the value of x and solve. Whichever gives the lower cost will be our answer.

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RenatoMattice RenatoMattice · Answer 2 · 2019-06-06T08:45:54+02:00

Answer: Gym A is preferred to Gym B.

Step-by-step explanation:

Since we have given that

Gym A charges as follows:

Cost of gym per month = $39.95

Fees for gym A would be

[tex]A=39.95x[/tex]

Here, x denotes the number of months.

Gym B charges as follows:

Cost of gym per month = $14.95

Cost of per visit = $2.95

Fees for gym B would be

[tex]14.95x+2.95y[/tex]

Here, y denotes the number of visits.

Let us assume that x = 1 month

y = 30 visits as each month has atleast 30 days.

So, Amount to be paid for gym A would be $39.95

Amount to be paid for gym B would be

[tex]14.95+2.95\times 30\\\\=14.95+88.5\\\\=\$103.45[/tex]

So, we get that gym A is cheaper than gym B.

Hence, Gym A is preferred to Gym B.