Question

Week 3 - Math 8 - Assessment
3 of 93 of 9 Items









Question
POSSIBLE POINTS: 12.5
Given the table for x, tickets sold and y, money earned:

x - # of tickets sold 4 9 8 5 7
y - $ earned 48 108 96 60 84
Every ticket sold is
dollars earned. This is called a

The relationship is
because there is a constant
and 0 tickets sold means $0 earned.

Answer 1

To analyze the data given in the table, we can determine the amount earned per ticket sold and conclude the type of relationship.

1. **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**.

2. **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.