Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
Part A)
The average rate of change of the sales S(t) between two times tâ and tâ is given by:
[tex]\frac{S(t_2)-S(t_1)}{t_2-t_1}_{}[/tex]Between the years 2012 and 2015, the average rate of change is:
[tex]\frac{S(2015)-S(2012)}{2015-2012}[/tex]Notice that S(2015) = 107.1 and S(2012)=61.09. Then, the average rate of change in net sales per year, is:
[tex]\frac{107.01-61.09}{3}=15.30666\ldots[/tex]The numerator is measured in billions of dollars and the denominator is measured in years. Then, the units of measure are billions of dollars per year.
Part B)
Assuming that the trend continues, the average rate of change must be the same for S(2018).
Replace S(2018) and S(2015) as well as 2018 and 2015 into the formula, set it equal to 15.30666... and solve for S(2018) to find the estimated net sales for 2018:
[tex]\begin{gathered} \frac{S(2018)-S(2015)}{2018-2015}=15.30666\ldots \\ \Rightarrow\frac{S(2018)-107.01}{3}=15.30666\ldots \\ \Rightarrow S(2018)-107.01=3\times15.30666\ldots \\ \Rightarrow S(2018)=3\times15.30666\ldots+107.01 \\ \therefore S(2018)=152.93 \end{gathered}[/tex]Therefore, the answers are:
a) The average rate of change in net sales from 2012 to 2015 is 15.30666... billions of dollars per year.
b) The estimated net sales for the year 2018 if this trend continues is 152.93 billions of dollars.
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.
