select an option from the drop - down menu to correctly complete the sentence. the average rate of change in…

select an option from the drop - down menu to correctly complete the sentence. the average rate of change in the capacity of a container holding 1 - inch marbles to a container holding 7 - inch marbles is approximately choose...

select an option from the drop - down menu to correctly complete the sentence. the average rate of change in the capacity of a container holding 1 - inch marbles to a container holding 7 - inch marbles is approximately choose...

Answer

Explanation:

Step1: Recall average rate - of - change formula

The average rate of change of a function $y = f(x)$ from $x = a$ to $x = b$ is given by $\frac{f(b)-f(a)}{b - a}$. Here, $a = 1$, $b = 7$, $f(1)=167.55$ and $f(7)=57470.20$.

Step2: Substitute values into the formula

$\frac{f(7)-f(1)}{7 - 1}=\frac{57470.20 - 167.55}{6}$.

Step3: Calculate the numerator

$57470.20-167.55 = 57302.65$.

Step4: Calculate the final result

$\frac{57302.65}{6}\approx9550.44$.

Answer:

$9550.44$