Question

shirts sold
amount raised (dollars)
1 4
2 8
3 12
4 16

1. does the table show a proportional relationship?

yes, the amount raised is always 4 times the number of shirts.

1. write an equation to represent the relationship between the number of shirts sold and the amount raised.

+ - · =
amount raised
number of shirts
4

Explanation:

Step1: Confirm proportionality

Check ratio: $\frac{\text{amount raised}}{\text{number of shirts}} = \frac{4}{1} = \frac{8}{2} = \frac{12}{3} = \frac{16}{4} = 4$

Step2: Define variables

Let $x$ = number of shirts, $y$ = amount raised.

Step3: Write proportional equation

Since $y = 4x$, substitute labels.

Answer:

1. Yes, the amount raised is always 4 times the number of shirts.
2. $\text{amount raised} = 4 \times \text{number of shirts}$