Question

Table, averages.....

Answer 1

Given:

The table contains the years as 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020.

The sales values are 287, 332, 367, 392, 407, 412, 407, 392, 367.

The objective is to find the average rate of change of annual sales between 2012 and 2013.

Consider the intervals as a = 2012 and b= 2013.

Then, the value of f(a) = 287 and f(b) = 332.

To find the average rate of change, the formula is,

Let's substitute the given values in the above formula.

`\begin{gathered} \text{Average rate of change = }(332-287)/(2013-2012) \\ =(45)/(1) \\ =45 \end{gathered}`

Hence, the average rate of change of sales over the interval 2012 and 2013 is 45 millions of dollar per year.