Question

makenzie got a $30 gift certificate to the local theater for her birthday. adult tickets (x) cost $8.00 and tickets for children (y) cost $4.50. which inequality represents the number of adults and children who can go to a show using the $30 gift certificate? a. $8x + 4.5y leq 30$ b. $4.5x + 8y leq 30$ c. $30x + 4.5y geq 8$ d. $30x + 4.5y leq 8$ e. $8x + 30y geq 4.5$

Explanation:

Step1: Analyze adult ticket cost

Adult tickets (\(x\)) cost \$8.00, so total cost for \(x\) adult tickets is \(8x\).

Step2: Analyze child ticket cost

Children tickets (\(y\)) cost \$4.50, so total cost for \(y\) child tickets is \(4.5y\).

Step3: Total cost and gift certificate

The total cost of adult and child tickets (\(8x + 4.5y\)) must be less than or equal to the \$30 gift certificate. So the inequality is \(8x + 4.5y \leq 30\).

Answer:

A. \(8x + 4.5y \leq 30\)