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.
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
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