joyce wants to go the the zoo with her friends over summer 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 expensive of the membership fee

Answer 1

To justify the expense of the membership fee, Joyce needs to visit the zoo enough times that the total cost of visiting without a membership is equal to or greater than the cost with a membership.

Let's calculate the cost of visiting the zoo without a membership:
Visits without a membership: 45$ per visit
Total cost without a membership: 45$ * the number of visits

Now let's calculate the cost of getting a membership and visiting the zoo:
Membership fee: 50$
Price per visit with a membership: 20$
Visits with a membership: the number of visits

To find the number of visits needed to justify the expense of the membership fee, we need to set up the following equation:
Total cost without a membership = Membership fee + (Price per visit with a membership * the number of visits)

45$ * the number of visits = 50$ + (20$ * the number of visits)

Rearranging the equation, we get:
45$ * the number of visits - 20$ * the number of visits = 50$

Simplifying, we have:
25$ * the number of visits = 50$

Dividing both sides of the equation by 25$, we find:
the number of visits = 50$ / 25$

Therefore, Joyce needs to visit the zoo at least 2 times to justify the expense of the membership fee.