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
3
3
2
2
5
5
10
In order to determine the number of times Joyce needs to visit the zoo to justify the expense of the membership fee, we need to compare the total cost with and without the membership.
Without the membership, Joyce would pay $45 for each visit to the zoo.
With the membership, Joyce would pay a one-time fee of $50 and then $20 for each visit to the zoo.
To find the break-even point, we need to solve the equation:
$45x = $50 + $20x
where x represents the number of visits.
Simplifying the equation, we get:
$45x = $50 + $20x
Subtracting $20x from both sides:
$25x = $50
Dividing both sides by $25:
x = 2
Therefore, Joyce needs to visit the zoo at least 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 for individual visits to the cost of purchasing a membership.
If Joyce chooses to pay $45 each time to get into the zoo, she will spend $45 * (number of visits) dollars in total.
On the other hand, if Joyce purchases a membership for $50, she will then only need to pay $20 per visit.
To find out when the membership becomes cost-effective, we can set up an equation:
$45 * (number of visits) = $50 + $20 * (number of visits)
Simplifying this equation gives:
$45 * (number of visits) = $50 + $20 * (number of visits)
$45 * (number of visits) - $20 * (number of visits) = $50
$25 * (number of visits) = $50
Dividing both sides of the equation by $25 gives:
(number of visits) = $50 / $25
(number of visits) = 2
Therefore, Joyce will need to visit the zoo at least 2 times to justify the expense of the membership fee.
2
-7x - 2y = -13
x - 2y = 11
step by step help please
-7x - 2y = -13
x - 2y = 11
Two systems of equations are shown: 4x+y=−1 x+y=2 and 8x+2y=−2 −4x+cy=−8
What would the value of c need to be to get the same solution for both systems? (
Responses
2
1
4
-4
-2