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 with Joyce need to visit the zoo to justify the expense of the membership fee.
To justify the expense of the membership fee, Joyce would need to visit the zoo enough times to make up for the difference in cost between the membership and the individual ticket price.
The difference in cost is $45 - $20 = $25.
To cover this difference, Joyce would need to visit the zoo $50 / $25 = 2 times.
Therefore, Joyce would need to visit the zoo at least 2 times in order 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 can calculate the breakeven point.
Let's assume Joyce visits the zoo x times.
If she pays $45 each time, her total cost for x visits would be 45x.
However, if she joins the membership for $50, she would have to pay $20 for each visit. So her total cost for x visits would be 50 + 20x.
To find the breakeven point, we can set these two costs equal to each other and solve for x:
45x = 50 + 20x
Subtracting 20x from both sides gives:
45x - 20x = 50
Simplifying the equation gives:
25x = 50
Dividing both sides by 25 gives:
x = 2
Therefore, Joyce needs to visit the zoo at least 2 times to justify the expense of the membership fee.
To determine the number of visits Joyce needs to make to justify the expense of the membership fee, we need to compare the total cost of paying for each visit individually with the cost of getting a membership.
Option 1: Paying for each visit individually:
Cost per visit = $45
If Joyce visits the zoo x number of times, the total cost will be: 45x
Option 2: Getting a membership:
Membership fee = $50
Cost per visit with membership = $20
If Joyce gets a membership and visits the zoo x number of times, the total cost will be: 50 + (20x)
To determine when the membership becomes more cost-effective, we need to set up an inequality:
45x > 50 + 20x
Subtract 20x from both sides:
25x > 50
Divide both sides by 25:
x > 2
Joyce needs to visit the zoo more than 2 times to justify the expense of the membership fee.