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?
Answers
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)
Dividing both sides by 10
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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If you have worded the question verbatim from the problem, then you only need to worry about the 4.2% paid by the employee out of his/her gross.
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Answers
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