find the average rate of change for the given interval. 1 ≤ x ≤ 6 the average rate of change is

Explanation:

Step1: Recall average rate - of - change formula

The average rate of change of a function $y = f(x)$ over the interval $[a,b]$ is $\frac{f(b)-f(a)}{b - a}$. Here, $a = 1$, $b = 6$, $f(1)=100$, and $f(6)=300$.

Step2: Substitute values into formula

$\frac{f(6)-f(1)}{6 - 1}=\frac{300 - 100}{6 - 1}$

Step3: Calculate the result

$\frac{200}{5}=40$

Answer:

40