Question

c) $a(1,6)$ , $b(4,162)$
calculate aroc (the average rate of change) between a and b.
$aroc = \underline{\quad\quad}$

Explanation:

Step1: Recall AROC formula

The average 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: Assign values to variables

Let $(x_1,y_1)=(1,6)$ and $(x_2,y_2)=(4,162)$. Substitute into the formula:
$\text{AROC} = \frac{162 - 6}{4 - 1}$

Step3: Compute numerator and denominator

Calculate numerator: $162 - 6 = 156$
Calculate denominator: $4 - 1 = 3$

Step4: Simplify the fraction

$\text{AROC} = \frac{156}{3} = 52$

Answer:

52