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PRACTICE Big Star Cinemas sells movie tickets online. For each online order, you must pay a $2 processing...

8. PRACTICE Big Star Cinemas sells movie tickets online. For each online order, you must pay a $2 processing fee. Each ticket is $10. Create a table and graph to represent the linear data. Is the relationship between the number of movie tickets and the cost a function?

Answer

8. Let n be the number of tickets and C be the total cost in dollars. The rule is C = 10n + 2.

Table:
Number of tickets (n): 1, 2, 3, 4, 5
Total cost (C): $12, $22, $32, $42, $52

Graph: Label the horizontal axis “Number of tickets” and the vertical axis “Total cost ($).” Plot (1, 12), (2, 22), (3, 32), (4, 42), and (5, 52). These points lie on the line C = 10n + 2. Use discrete points because tickets are purchased in whole numbers.

Yes, this relationship is a function: each number of tickets corresponds to exactly one total cost.

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