Question

1. graph this relationship. is this proportional?

minutes | dollars
1 | 10
2 | 15
3 | 20
4 | 25

Explanation:

Step1: Check proportionality ratio

Calculate $\frac{\text{Dollars}}{\text{Minutes}}$ for each pair:
$\frac{10}{1}=10$, $\frac{15}{2}=7.5$, $\frac{20}{3}\approx6.67$, $\frac{25}{4}=6.25$

Step2: Verify origin intercept

The relationship is linear: $y=5x+5$. When $x=0$, $y=5
eq 0$.

Answer:

This relationship is not proportional, as the ratios of dollars to minutes are not equal and the line does not pass through the origin of the graph.