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. 5
D. 3
To determine how many times Joyce will need to visit the zoo to justify the expense of the membership fee, we need to compare the costs of paying without a membership to the cost of paying with a membership.
Without a membership, Joyce would pay $45 each time she visits the zoo.
With a membership, Joyce would pay an initial fee of $50 and then only $20 each time she visits the zoo.
To find the number of visits needed to justify the membership expense, we can set up an equation:
45x = 50 + 20x
Where x represents the number of visits.
Simplifying the equation, we have:
45x - 20x = 50
25x = 50
Dividing both sides by 25, we get:
x = 2
So Joyce would need to visit the zoo 2 times to justify the expense of the membership fee.
Therefore, the answer is A. 2.
To determine how many times Joyce needs to visit the zoo to justify the expense of the membership fee, we first need to compare the total cost with and without the membership.
Without the membership:
- Joyce will pay $45 per visit to the zoo.
With the membership:
- Joyce will pay a one-time fee of $50 for the membership.
- After that, she will only pay $20 per visit.
To find the break-even point, we need to calculate how many visits Joyce needs to make for the total cost with the membership to equal the total cost without the membership.
Let's do the calculations:
Without the membership:
Total cost per visit = $45
With the membership:
Total cost per visit = $20
One-time membership fee = $50
To calculate the break-even point, we set up the equation:
Total cost without membership = Total cost with membership
45 * x = 50 + 20 * x
45x - 20x = 50
25x = 50
x = 50 / 25
x = 2
Therefore, Joyce needs to visit the zoo at least 2 times to justify the expense of the membership fee.
The correct answer is A. 2.
To justify the expense of the membership fee, the total amount paid for regular visits must be equal to or greater than the cost of the membership fee.
If Joyce chooses to pay $45 each time she visits the zoo:
$45 x number of visits ≥ $50 (cost of membership)
Simplifying, we get:
Number of visits ≥ $50 / $45
Number of visits ≥ 1.11
This means that Joyce would need to visit the zoo more than once to justify the expense of the membership fee.
The correct answer is not A. 2.
If Joyce chooses to pay $20 each time she visits the zoo with a membership:
$20 x number of visits with membership ≥ $50 (cost of membership)
Simplifying, we get:
Number of visits with membership ≥ $50 / $20
Number of visits with membership ≥ 2.5
This means that Joyce would need to visit the zoo more than two times to justify the expense of the membership fee.
The correct answer is not D. 3.
If Joyce chooses to pay $45 each time she visits the zoo:
$20 x number of visits with membership ≥ $50 (cost of membership)
Simplifying, we get:
Number of visits with membership ≥ $50 / $20
Number of visits with membership ≥ 2.5
This means that Joyce would need to visit the zoo more than two times to justify the expense of the membership fee.
The correct answer is not C. 5.
If Joyce chooses to pay $20 each time she visits the zoo with a membership:
$20 x number of visits with membership ≥ $50 (cost of membership)
Simplifying, we get:
Number of visits with membership ≥ $50 / $20
Number of visits with membership ≥ 2.5
This means that Joyce would need to visit the zoo more than two times to justify the expense of the membership fee.
The correct answer is not B. 10.
Therefore, the correct answer is D. 3, as Joyce would need to visit the zoo at least three times to justify the expense of the membership fee.