Question

# Aaron can join a gym that charges $19.99 per month plus an annual $12.80 fee , or he can pay $21.59 per month. he thinks the second option is better because he plans to use the gym for 10 months. Is Aaron correct ? Explain.

Hint:

### 1. Total monthly charges = Number of months of using the gym * per month charges

2. Total cost = Annual fees + Total monthly charges

## The correct answer is: the cost of option 2 is more than option 1 by $ 3.2 ($ 215.9 - $ 212.7) for 10 months of using the gym, Aaron is wrong.

### Step-by-step solution:-

From the given information, we get-

Annual fees of option 1 = $ 12.80

Monthly fees of option 1 = $ 19.99 per month

Annual fees of option 2 = 0

Monthly fees of option 1 = $ 21.59 per month

Now, we know that-

Monthly charges for option 1 = Number of months of using the gym × price per month

∴ Monthly charges for option 1 = 10 × 19.99 ..................................................................................... (From given information)

∴ Monthly charges for option 1 = 199.9 ............................................................................................ (Equation i)

Total cost for option 1 = Annual fees + Monthly charges

∴ Total cost for option 1 = 12.80 + 199.9 .............................................................................. (From given information & Equation i)

∴ Total cost for option 1 = 212.7 ..................................................................................................... (Equation ii)

Also,

Monthly charges for option 2 = Number of months of using the gym × price per month

∴ Monthly charges for option 2 = 10 × 21.59 ..................................................................................... (From given information)

∴ Monthly charges for option 2 = 215.9 ............................................................................................ (Equation iii)

Total cost for option 2 = Annual fees + Monthly charges

∴ Total cost for option 2 = 0 + 215.9 ..................................................................................... (From given information & Equation iii)

∴ Total cost for option 2 = 215.9 ..................................................................................................... (Equation iv)

Final Answer:-

∴ Since, the cost of option 2 is more than option 1 by $ 3.2 ($ 215.9 - $ 212.7) for 10 months of using the gym, Aaron is wrong.

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