Question

At Silver Gym, membership is $25 per month, and personal training sessions are $30 each. At Fit Factor, membership is $65 per month, and personal training sessions are $20 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?

Answer 1

Sarah would have to buy 4 personal training sessions to make the total cost at the two gyms equal.

Step-by-step explanation:

Membership fee at Silver gym = $25 per month

Cost of one training session = $30

Membership fee at Fit Factor = $65 per month

Cost of one training session = $20

Let,

x be the number of training sessions in a month,

S(x) = 25 + 30x    Eqn 1

F(x) = 65 + 20x    Eqn 2

The two functions will be equal when the cost will be same, therefore,

S(x) = F(x)

$25+30x=65+20x\\30x-20x=65-25\\10x=40$

Dividing both sides by 10

$\frac{10x}{10}=\frac{40}{10}\\x=4$

Sarah would have to buy 4 personal training sessions to make the total cost at the two gyms equal.

Keywords: functions, equality

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