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)
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.