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
10
10
3
3
2
2
5
5
To determine how many times Joyce will need to visit the zoo to justify the expense of the membership fee, we can compare the cost of paying for individual visits versus the cost of purchasing a membership.
If Joyce chooses to pay for individual visits, the cost per visit is $45.
If Joyce chooses to purchase a membership, she will have to pay a one-time fee of $50 and then only $20 for each visit.
To find the breakeven point, we need to calculate how many visits it would take for the total cost of individual visits to equal the cost of the membership fee.
Let's set up an equation:
Total Cost of Individual Visits = Cost of Membership Fee
45x = 50 + 20x
Simplifying the equation:
45x - 20x = 50
25x = 50
Dividing both sides of the equation by 25:
x = 2
Therefore, Joyce will need to visit the zoo at least 2 times to justify the expense of the membership fee.
To determine how many times Joyce needs to visit the zoo to justify the expense of the membership fee, we need to compare the total cost of paying individually for each visit versus getting a membership.
If Joyce pays individually for each visit, the cost would be $45 per visit.
If Joyce gets a membership, the cost of the membership fee is $50, and then she would pay $20 per visit.
To calculate the break-even point, we need to find the number of visits where the total cost of paying individually equals the total cost with the membership.
Let's assume the number of visits is represented by 'x'.
Total cost of paying individually: $45 * x
Total cost with membership: $50 (for the membership fee) + $20 * x (for 'x' visits)
Now we can set up the equation and solve for 'x':
$45 * x = $50 + $20 * x
Simplifying the equation:
$45 * x - $20 * x = $50
$25 * x = $50
Dividing both sides by $25:
x = $50 / $25
x = 2
Therefore, Joyce needs to visit the zoo at least 2 times to justify the expense of the membership fee.