AnswersAZ-Algebra 1A MA101Writing Linear EquationsQuestion 4
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Writing Linear Equations

Question 4 • AZ-Algebra 1A (MA101)

The total cost for a bucket of popcorn and 4 movie tickets is $56. The total cost for the same size bucket of popcorn and 6 movie tickets is $80. The cost of a bucket of popcorn is $8. Which equation represents the relationship between y, the total cost of the popcorn and movie tickets, and x, the number of movie tickets that are purchased?

Answer
A
y = 12x + 8
B
y = 12x − 8
C
y = 14x + 8
D
y = 14x − 8

Explanation

From the two totals, the cost of 2 additional tickets is $80 − $56 = $24, so each ticket costs $24 ÷ 2 = $12. The popcorn costs $8 regardless of how many tickets are bought. Therefore, for x tickets, the total cost is y = 12x + 8, which is choice A.

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