To analyze the data given in the table, we can determine the amount earned per ticket sold and conclude the type of relationship.
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Determine the amount earned per ticket sold (constant cost per ticket):
- Using the information provided, we can find the amount earned per ticket sold by dividing the total amount earned by the number of tickets sold for each corresponding pair:
- For (4 tickets, $48): \( \frac{48}{4} = 12 \) dollars per ticket
- For (9 tickets, $108): \( \frac{108}{9} = 12 \) dollars per ticket
- For (8 tickets, $96): \( \frac{96}{8} = 12 \) dollars per ticket
- For (5 tickets, $60): \( \frac{60}{5} = 12 \) dollars per ticket
- For (7 tickets, $84): \( \frac{84}{7} = 12 \) dollars per ticket
Therefore, every ticket sold is 12 dollars earned.
- Using the information provided, we can find the amount earned per ticket sold by dividing the total amount earned by the number of tickets sold for each corresponding pair:
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Description of the relationship:
- The relationship is linear because there is a constant rate of increase (12 dollars per ticket), which implies that as more tickets are sold, earnings increase at a constant rate.
- The statement about 0 tickets sold means $0 earned also suggests that the line passes through the origin (0,0) which is characteristic of a linear relationship.
Thus, the completed sentences would be:
- Every ticket sold is 12 dollars earned. This is called a constant rate.
- The relationship is linear because there is a constant rate of $12 per ticket, and 0 tickets sold means $0 earned.