Question

15/20
input output
1 11
2 13
3 15
4 17
5 19
find the rate of change
1
2
11
not a constant slope/non-linear

Explanation:

Step1: Recall rate of change formula

The rate of change between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $\frac{y_2-y_1}{x_2-x_1}$.

Step2: Calculate first pair rate

Take $(1,11)$ and $(2,13)$:
$\frac{13-11}{2-1} = \frac{2}{1} = 2$

Step3: Calculate second pair rate

Take $(2,13)$ and $(3,15)$:
$\frac{15-13}{3-2} = \frac{2}{1} = 2$

Step4: Verify remaining pairs

Check $(3,15)$ & $(4,17)$: $\frac{17-15}{4-3}=2$;
Check $(4,17)$ & $(5,19)$: $\frac{19-17}{5-4}=2$

Answer:

2