Question

x 15 16 17 18
y 10 20 40 70
is the relationship linear, exponential, or neither?
choose 1 answer:
a linear
b exponential
c neither

Explanation:

Step1: Check linearity (constant differences)

Calculate $\Delta y$ values:
$20-10=10$, $40-20=20$, $70-40=30$
Differences: $10, 20, 30$ (not constant)

Step2: Check exponentiality (constant ratios)

Calculate $\frac{y_{n+1}}{y_n}$ values:
$\frac{20}{10}=2$, $\frac{40}{20}=2$, $\frac{70}{40}=1.75$
Ratios: $2, 2, 1.75$ (not constant)

Answer:

C. Neither