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?

5 answers

To justify the expense of the membership fee, Joyce needs to visit the zoo enough times such that the total cost of paying the entrance fee each time is greater than or equal to the cost of the membership fee.

Let's assume Joyce needs to visit the zoo x number of times.

If Joyce pays the entrance fee each time, she will spend 45x dollars.

If Joyce gets the membership, she will spend 50 + 20x dollars.

To justify the expense of the membership fee, 45x >= 50 + 20x.

By subtracting 20x from both sides of the equation, we get 25x >= 50.

By dividing both sides of the equation by 25, we get x >= 2.

Joyce needs to visit the zoo at least 2 times to justify the expense of the membership fee.
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Yes, I am confident in the answer I provided. Based on the given information, Joyce would need to visit the zoo at least 2 times to justify the expense of the membership fee.