question 1\nthe table below gives the annual sales (in millions of dollars per year) of a product.\n\nwhat…

question 1\nthe table below gives the annual sales (in millions of dollars per year) of a product.\n\nwhat was the average rate of change of annual sales\na) between 2002 and 2003\n\nmillions of dollars/year\nb) between 2002 and 2005\n\nmillions of dollars/year\nquestion help: video message instructor\nsubmit question

question 1\nthe table below gives the annual sales (in millions of dollars per year) of a product.\n\nwhat was the average rate of change of annual sales\na) between 2002 and 2003\n\nmillions of dollars/year\nb) between 2002 and 2005\n\nmillions of dollars/year\nquestion help: video message instructor\nsubmit question

Answer

Explanation:

Step1: Recall the formula for average rate of change

The formula for the average rate of change of a function (y = f(x)) over the interval ([x_1,x_2]) is (\frac{f(x_2)-f(x_1)}{x_2 - x_1}). Here, (x) represents the year and (y) represents the sales.

Step2: Solve part (b)

For the interval between (2002) ((x_1 = 2002), (y_1=323)) and (2005) ((x_2 = 2005), (y_2 = 311)): [ \begin{align*} \text{Average rate of change}&=\frac{y_2 - y_1}{x_2 - x_1}\ &=\frac{311-323}{2005 - 2002}\ &=\frac{- 12}{3}\ &=-4 \end{align*} ]

Answer:

a) (-4) millions of dollars/year b) (-4) millions of dollars/year