Let's analyze each part of the question based on the information provided in the table.
a. Every ticket sold is ___________ dollars earned.
To find out how much money is earned per ticket, we can calculate the unit rate (dollars per ticket) based on the values given. We can take any pair of values from the table:
For example, if we take 4 tickets sold (x = 4) and the corresponding money earned (y = 48): \[ \text{Unit rate} = \frac{y}{x} = \frac{48}{4} = 12 \text{ dollars per ticket} \]
So, we can fill in the blank: Answer: Every ticket sold is 12 dollars earned.
b. Dollars/1 ticket is called a ______________.
As calculated above, the dollars earned per ticket is referred to as the unit rate.
Answer: Dollars/1 ticket is called a unit rate.
c. This relationship is _______________, because 0 tickets sold is _______________ dollars earned.
To determine if the relationship is proportional or non-proportional, we must check if the ratio between y and x remains constant. We could check some calculations.
For the ticket sold:
- 4 tickets = $48 → \( \frac{48}{4} = 12 \)
- 5 tickets = $60 → \( \frac{60}{5} = 12 \)
- 7 tickets = $84 → \( \frac{84}{7} = 12 \)
- 8 tickets = $96 → \( \frac{96}{8} = 12 \)
- 9 tickets = $108 → \( \frac{108}{9} = 12 \)
Since the ratios are all equal (12), we can conclude the relationship is proportional. Also, if 0 tickets are sold, then there is 0 dollars earned:
Answer: This relationship is proportional, because 0 tickets sold is 0 dollars earned.
Final Answers:
a. Every ticket sold is 12 dollars earned.
b. Dollars/1 ticket is called a unit rate.
c. This relationship is proportional, because 0 tickets sold is 0 dollars earned.
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