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)
0 5
О 10
0 3
0 2
To justify the expense of the membership fee, Joyce will need to visit the zoo enough times so that the total cost of individual visits (paying $45 each time) exceeds the cost of joining the membership ($50) plus the reduced price of each visit ($20).
Let's set up an equation to solve for the number of visits needed:
45 * x > 50 + 20 * x
Where x represents the number of visits.
Now, let's solve for x:
45x > 50 + 20x
25x > 50
x > 50/25
x > 2
Therefore, Joyce will need to visit the zoo more than 2 times to justify the expense of the membership fee.
Answer: 3 visits
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 the regular admission fee each time versus the cost of purchasing a membership.
Option 1: Pay $45 each visit
Option 2: Pay $50 membership fee and $20 each visit
Let's calculate the break-even point for Joyce:
Option 1: $45 per visit
Option 2: $50 membership fee + $20 per visit
To calculate the break-even point, we need to find the number of visits where Option 2 becomes cheaper than Option 1.
Let's set up the equation:
$50 + $20x < $45x
where x represents the number of visits.
Simplifying the equation:
$50 < $45x - $20x
$50 < $25x
Divide both sides of the inequality by $25:
$2 < x
This means that Joyce needs to visit the zoo at least 2 times to justify the expense of the membership fee. Therefore, the correct answer is:
2
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 individual visits to the cost with a membership.
Without a membership: Joyce would pay $45 each time she visits the zoo.
With a membership: Joyce would pay $50 for the membership fee and then $20 for each visit.
To find the number of visits needed to justify the membership fee, we need to calculate the point at which the cost without a membership becomes higher than the cost with a membership.
Let's set up an equation:
45x > 50 + 20x
Simplifying the equation:
45x - 20x > 50
25x > 50
Dividing both sides of the inequality by 25:
x > 2
Therefore, Joyce will need to visit the zoo at least 3 times to justify the expense of the membership fee. So the answer is 3.