Question

question 1
the table below gives the annual sales (in millions of dollars per year) of a product.

what was the average rate of change of annual sales
a) between 2002 and 2003

millions of dollars/year
b) between 2002 and 2005

millions of dollars/year
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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 \(2005\) (\(x_2 = 2005\), \(y_2 = 311\)):

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Answer:

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