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)
[tex]25+30x=65+20x\\30x-20x=65-25\\10x=40[/tex]
Dividing both sides by 10
[tex]\frac{10x}{10}=\frac{40}{10}\\x=4[/tex]
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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