Joyce wants to go to the zoo with her friend over spring break. You can pay $45 to get into the zoo each time, or join a membership for $50 and then only pay $20 each visit to the zoo. How many times will Joyce need to visit the zoo to justify the expense of the membership fee?(1 point)

1 answer

To justify the expense of the membership fee, Joyce needs to visit the zoo enough times that the total cost of individual visits ($45 each) is more expensive than the cost of joining the membership ($50) plus the discounted cost of each visit ($20 each).

Let's assume Joyce needs to visit the zoo x times to justify the expense.

The total cost of individual visits for x number of times is 45x.

The cost of joining the membership ($50) plus the discounted cost of each visit ($20 each) for x number of times is equal to 50 + 20x.

45x > 50 + 20x

Subtract 20x from both sides: 25x > 50

Divide both sides by 25: x > 2

Joyce would need to visit the zoo more than 2 times to justify the expense of the membership fee.