Question

Membership at the local museum costs $80 per year. If you are a member, you can go the special exhibits for $10 each. If you are not a member, special exhibits costs $20 each. After how many special exhibits is the total cost with a membership no more than the total cost of special exhibits without a membership.​

Answer 1

To determine the number of special exhibits for which the total cost with a membership is no more than the total cost without a membership, set up an equation and solve for x.

Step-by-step explanation:

To determine the number of special exhibits for which the total cost with a membership is no more than the total cost without a membership, we need to set up an equation.

Let's assume the number of special exhibits is x. If you are a member, the total cost would be $80 (membership fee) + $10 (cost per special exhibit) * x. If you are not a member, the total cost would be $20 (cost per special exhibit) * x.

We need to find the value of x for which the total cost with a membership is equal to the total cost without a membership. So, the equation is:

$80 + $10x = $20x

Solving this equation, we can find the value of x.