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5. Starbucks Corporation in 2012 had annual sales of approximately $13.3 billion and in 2014 had $16.4 billion. (Source:
Starbucks Corporation)
A) What would you estimate the 2013 sales to have been?
B) Assume sales continue increasing in a linear patter, what would you estimate the annual sales be in 2015?
Pls help fast

5 Starbucks Corporation in 2012 had annual sales of approximately 133 billion and in 2014 had 164 billion Source Starbucks Corporation A What would you estimate class=

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Answer:

a. y=1.55(2013)-3105.3= 14.85.

b. y=1.55(2015)-3105.3= 17.95.

Step-by-step explanation:

On question b we have a glance of what the problem is asking for when it says "increasing in a linear patter". This means that we can craft a mathematical function that represents these values.

Say the years are the variable x and the annual sales (in millions) are the y variable. The problem gives us 2 points of this function:

(2012, 13.3) and (2014, 16.4)

Now, we can find both the slope and formula of the function that represent the behavior of this data.

For the slope:

[tex]M=\frac{y2-y1}{x2-x1} =\frac{16.4-13.3}{2014-2012}= 1.55.[/tex]

Now, let's find the formula of this function:

[tex]y-y1=m(x-x1)\\\y-16.4=1.55(x-2014)\\\y-16.4=1.55x-3121.7\\y=1.55x-3121.7+16.4\\y=1.55x-3105.3[/tex]

Now that we have the function of this data, let's calculate a value for the year 2013.

a. y=1.55(2013)-3105.3= 14.85.

b. y=1.55(2015)-3105.3= 17.95.

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