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what is the average rate of change of 1, 5?

Question

what is the average rate of change of 1, 5?

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, $a = 1$, $b = 5$.

Step2: Assume $f(1)=3$ and $f(5)=0$ (estimated from the graph)

Substitute into the formula: $\frac{f(5)-f(1)}{5 - 1}=\frac{0 - 3}{4}$.

Step3: Calculate the result

$\frac{0 - 3}{4}=\frac{-3}{4}=- 0.75$.

Answer:

D. -0.75