Let's calculate the cost of visiting the zoo without a membership. Joyce will pay $45 each time.
Now let's calculate the cost of visiting the zoo with a membership. Joyce will pay $50 for the membership fee and $20 each visit.
To justify the expense of the membership fee, Joyce needs to visit the zoo enough times so that the total cost with the membership is equal to or less than the total cost without the membership.
$50 + $20n ≤ $45n
Where n is the number of visits.
Simplifying the equation:
$20n - $45n ≤ -$50
-$25n ≤ -$50
To get rid of the negative sign, we will multiply both sides of the inequality by -1, but remember to flip the direction of the inequality sign:
25n ≥ 50
n ≥ 2
Joyce needs to visit the zoo at least 2 times to justify the expense of the membership fee.
So the answer is: a) 2.
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
a 2
b 3
c 5
d 10
1 answer