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practice examMultiple Choice

Practice Exam

Question 3 • Algebra II

An amusement parks sells adult tickets for 18 dollars each and youth tickets for 12 dollars each. Kalila is using the inequality 18 x plus 12 y is less than or equal to 250 to find the combinations of tickets she can buy without exceeding her 250 dollars budget. The ordered pair open paren 4 comma 3 close paren is a solution of the inequality. What does open paren 4 comma 3 close paren represent?

Answer
A
Kalila purchases 4 tickets, 3 of which are adult tickets.
B
Kalila purchases 4 adult tickets and 3 youth tickets.
C
Kalila purchases 4 tickets, 3 of which are youth tickets.
D
Kalila purchases 4 youth tickets and 3 adult tickets.

Explanation

In the inequality, x represents the number of adult tickets because each adult ticket costs $18, and y represents the number of youth tickets because each youth ticket costs $12. The ordered pair (4, 3) means x = 4 adult tickets and y = 3 youth tickets. Their total cost is 18(4) + 12(3) = $108, which is within the $250 budget, so choice B is correct.

AI-written and checked against the verified answer.

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