oyce 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
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 total cost of paying individually each time versus the total cost of purchasing the membership and paying the reduced fee each visit.
Option 1: Paying individually each time
The cost to get into the zoo each time is $45.
Option 2: Purchasing a membership
The membership fee is $50 and the reduced cost per visit is $20.
To calculate the breakeven point, we need to find the number of visits that give us the same total cost for both options.
Let's assume Joyce needs to visit the zoo "x" times.
For option 1, the total cost will be: 45 * x = 45x
For option 2, the total cost will be: 50 + 20 * x = 50 + 20x
We can now set up the equation:
45x = 50 + 20x
To solve for x, we can subtract 20x from both sides of the equation:
45x - 20x = 50
25x = 50
Divide both sides of the equation by 25:
x = 50 / 25
x = 2
Therefore, Joyce will need to visit the zoo 2 times to justify the expense of the membership fee.
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 cost of paying the regular admission fee each time with the cost of joining the membership.
If Joyce pays the regular admission fee each time, it would cost her $45 per visit.
On the other hand, if Joyce joins the membership, she will have to pay the $50 membership fee upfront, but then only $20 per visit.
To find the number of visits needed to justify the membership fee, we can set up the following equation:
$45 per visit * X visits = $50 membership fee + $20 per visit * X visits
Simplifying the equation, we have:
45X = 50 + 20X
Subtracting 20X from both sides, we get:
25X = 50
Dividing both sides by 25, we find:
X = 50 / 25
Simplifying the equation, we get:
X = 2
Therefore, Joyce will need to visit the zoo at least 2 times to justify the expense of the membership fee.
So the correct answer is 2.