Question

does this show a proportional relationship between the number of weeks and the account balance in dollars?
number of weeks, x | account balance in dollars, y
0 | 6
1 | 8
2 | 10
3 | 12
4 | 14
(there is also a scatter plot with x - axis as number of weeks and y - axis as account balance in dollars, with points plotted. and two options: yes and no)

Explanation:

Step1: Define proportional relationship

A proportional relationship follows $y = kx$, meaning when $x=0$, $y=0$.

Step2: Check initial condition

From the table, when $x=0$, $y=6
eq 0$.

Step3: Verify ratio consistency

Calculate $\frac{y}{x}$ for $x>0$:
$\frac{8}{1}=8$, $\frac{10}{2}=5$, $\frac{12}{3}=4$, $\frac{14}{4}=3.5$.
Ratios are not equal, so no proportionality.

Answer:

No