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Question 2 • 2026-27 Mathematical Models with Applications

There is a relationship between the expected number of tickets sold for a raffle and the dollar value of the prize for the raffle. The equation T - 6P = 100 describes this relationship, where T is the expected number of tickets sold, and P is the dollar value of the raffle prize. Suppose the expected ticket sales for a certain raffle are 1900. Determine the dollar value of the raffle prize.

Answer
A
$11,500
B
$300
C
$1800
D
$250

Explanation

Substitute T = 1900 into T - 6P = 100: 1900 - 6P = 100. Subtract 100 from both sides to get 6P = 1800, then divide by 6: P = 300. The raffle prize is $300, choice b.

AI-written and checked against the verified answer.

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