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?
A. 2
B. 10
C. 3
D. 5
To find the number of times Joyce needs to visit the zoo to justify the expense of the membership fee, we need to compare the total cost of paying for each visit without a membership to the total cost with a membership.
Without a membership, each visit to the zoo costs $45.
With a membership, each visit to the zoo costs $20.
To find the number of times Joyce needs to visit the zoo, we set up the following inequality:
$45x > $50 + $20x
Simplifying the inequality, we get:
$45x - $20x > $50
$25x > $50
Dividing both sides of the inequality by $25, we get:
x > 2
Joyce would need to visit the zoo more than 2 times to justify the expense of the membership fee.
The answer is A. 2