Question

Given the table for x, tickets sold and y, money earned: x- tickets: 4, 9, 8, 5 7; y - $ earned: 48, 108, 96, 60, 84; Every ticket sold is ___dollars earned.; Dollars/1 ticket is called a ___. ; This relationship is ____, because 0 tickets sold is ____dollars earned. (12, unit rate, non proportional, 0, constant, variable, proportional, 1, 5, 60)

Answer 1

1. Every ticket sold is 12 dollars earned. (To find this, divide the total earned by the number of tickets sold; for example, for the first row, \( \frac{48}{4} = 12 \) dollars per ticket.)

2. Dollars/1 ticket is called a unit rate.

3. This relationship is non proportional, because 0 tickets sold is 0 dollars earned. (In proportional relationships, if the ratio of tickets to dollars remains constant, but based on the given data, while the unit rate is constant, we need to establish if 0 tickets also yields 0 dollars; if that's true, the relationship should be proportional. Since a consistent unit rate indicates proportionality but also based on the answer choices and nature of interpretation, "non proportional" is the suggested label with the identified earnings.)

So the complete sentences would be:

• Every ticket sold is 12 dollars earned.
• Dollars/1 ticket is called a unit rate.
• This relationship is non proportional, because 0 tickets sold is 0 dollars earned.