Question

what is the ratio of this table? b=______ *how is the y changing? 1/2 4 10 2

Explanation:

Step1: Find ratio of y to x

For each pair: $\frac{5}{0}$ is undefined, use $\frac{10}{1}=10$, $\frac{20}{2}=10$, $\frac{40}{3}\approx13.33$ (wait, no—wait, check multiplicative change: $5\times2=10$, $10\times2=20$, $20\times2=40$, $40\times2=80$. Wait, ratio of y change: $\frac{y_{n+1}}{y_n}=2$.

Step2: Verify consistent ratio

$\frac{10}{5}=2$, $\frac{20}{10}=2$, $\frac{40}{20}=2$, $\frac{80}{40}=2$

Answer:

D. 2
The y-values are doubling (multiplying by 2) with each increase in x.