Question

A fitness center offers two payment options for their clients. The “member option “requires you to pay $42 to become a member. After that you pay only $2per fitness class. The “non-member option” requires your to pay $5.50 per fitness calss. For what number of classes would both options cost the same amount?

Answer 1

42+2n=5.5n
3.5n=42
n=12
Cost the same amount would be for 12 classes

Answer 2

As per linear equation, for 12 classes, both options would cost the same amount.

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation."

Let, for 'x' number of classes both the options would be the same.

Therefore, for the member option, the total cost for 'x' class would be

= $(42 + 2x)

Similarly, for the non-member option, the total cost for 'x' class would be = $(5.50x)

Now, (42 + 2x) = 5.50x

⇒ 3.5x = 42

⇒ x = 12

Learn more about a linear equation here:

brainly.com/question/2506989

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