Question

x 1 10 19 28
y 2 4 12 48
is the relationship linear, exponential, or neither?
choose 1 answer:
a linear
b exponential
c neither

Explanation:

Step1: Check linearity (constant Δy)

Calculate differences in y-values:
$4-2=2$, $12-4=8$, $48-12=36$
Differences are 2, 8, 36 (not constant)

Step2: Check exponentiality (constant ratio)

Calculate ratios of y-values:
$\frac{4}{2}=2$, $\frac{12}{4}=3$, $\frac{48}{12}=4$
Ratios are 2, 3, 4 (not constant)

Answer:

C. Neither