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) Responses 5 5 2 2 10 10 3

1 answer

To justify the expense of the membership fee, Joyce would need to visit the zoo enough times that the total cost of paying $45 each time would exceed the cost of joining the membership and paying $20 each visit.

Let's calculate the total cost of paying $45 each time and the total cost of joining the membership and paying $20 each visit:

Total cost of paying $45 each time:
$45 x Number of visits

Total cost of joining the membership and paying $20 each visit:
$50 (membership fee) + $20 x Number of visits

To find the number of visits that would justify the membership fee, we need to set up an inequality:

$45 x Number of visits > $50 + $20 x Number of visits

Simplifying the equation, we have:

$25 x Number of visits > $50

Number of visits > $50 / $25

Number of visits > 2

Therefore, Joyce would need to visit the zoo at least 3 times to justify the expense of the membership fee.