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Question
robert bought 2 movie tickets for $10. deion spent $20 on 4 movie tickets. how much does each movie ticket cost? the price of 1 movie ticket is $ 5. each ticket costs $5. that means the unit rate is 5. a proportional relationship is a relationship between two quantities where one quantity is a constant multiple of the other quantity. does the table show a proportional relationship? yes, the price is always 5 times the number of tickets. no, the price is not a constant multiple of the number of tickets.
Step1: Recall proportional - relationship definition
A proportional relationship exists when one quantity is a constant multiple of the other.
Step2: Analyze the table
For the first row, when the number of tickets $n_1 = 2$, the price $p_1=10$, and $\frac{p_1}{n_1}=\frac{10}{2} = 5$. For the second row, when the number of tickets $n_2 = 4$, the price $p_2 = 20$, and $\frac{p_2}{n_2}=\frac{20}{4}=5$. The ratio of price to the number of tickets is constant.
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Yes, the price is always 5 times the number of tickets.