To justify the expense of the membership fee, Joyce would need to visit the zoo enough times so that the total cost of individual admissions exceeds the cost of a membership.
If Joyce chooses to pay $45 each time, she will spend $45 x n, where n is the number of visits.
If she chooses to get a membership, she will spend $50 for the membership fee plus $20 x n for the visits.
To find the break-even point, we can set the two expressions equal to each other and solve for n:
$45n = $50 + $20n
Subtracting $20n from both sides:
$45n - $20n = $50
Combining like terms:
$25n = $50
Dividing both sides by $25:
n = 2
Therefore, Joyce will need to visit the zoo at least 2 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 2, 3, 5, 10
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