12. A finess center offers two payment options for their cliems. The "Member Option requires you to pay 542 as beme a member After that you pay only £2 per fines The "on-Member Option requires you to pay $5.50 per finness clan. For sumber of classes would hate options the same amoun Form B

1 answer

To determine the number of classes for which both options would cost the same amount, we can set up an equation.

Let's assume the number of classes is x.

For the Member Option, the cost is $542 as become a member plus $2 per class. So the total cost for x classes would be:
542 + 2x.

For the Non-Member Option, the cost is $5.50 per class. So the total cost for x classes would be:
5.50x.

To find when the costs are equal, we can set up the equation:

542 + 2x = 5.50x.

Now we can solve for x:

542 = 5.50x - 2x
542 = 3.50x
x = 542 / 3.50
x ≈ 154.857

Since we cannot have a fraction of a class, we can round down to the nearest whole number, which gives us:
x = 154

Therefore, both payment options would cost the same amount for 154 classes.