Question

the table below shows the number of reported polio cases in nigeria from 2006 to 2015.

what is the average rate of change, to the nearest hundredth, of the number of reported polio cases per year in nigena from 2006 to 2013?
1 -0.01
2 -125.44
3 -134.50
4 -153.71

Explanation:

Step1: Recall the formula for average rate of change

The formula for average rate of change is $\frac{f(b)-f(a)}{b - a}$. Here, $a = 2006$, $f(a)=1129$, $b = 2013$, $f(b)=53$.

Step2: Calculate the difference in years

$b - a=2013 - 2006=7$.

Step3: Calculate the difference in the number of cases

$f(b)-f(a)=53 - 1129=- 1076$.

Step4: Calculate the average rate of change

$\frac{f(b)-f(a)}{b - a}=\frac{-1076}{7}\approx - 153.71$.

Answer:

1. -153.71