sales of a new product increase over time. the table shows the value of a function $f(x)$, which equals…

sales of a new product increase over time. the table shows the value of a function $f(x)$, which equals product sales, for the first 6 years of sales.\nwhat is the average rate of change of the function from the year $x = 3$ to $x = 5$?\na 8\nb 20\nc 0\nd 16

sales of a new product increase over time. the table shows the value of a function $f(x)$, which equals product sales, for the first 6 years of sales.\nwhat is the average rate of change of the function from the year $x = 3$ to $x = 5$?\na 8\nb 20\nc 0\nd 16

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)) from (x=a) to (x = b) is (\frac{f(b)-f(a)}{b - a}). Here, (a = 3), (b=5), (f(3)=14), and (f(5)=30).

Step2: Substitute the values into the formula

Substitute the values into (\frac{f(b)-f(a)}{b - a}), we get (\frac{30 - 14}{5-3}). First, calculate the numerator: (30-14 = 16). Then, calculate the denominator: (5 - 3=2). So, (\frac{30 - 14}{5-3}=\frac{16}{2}).

Step3: Simplify the fraction

Simplify (\frac{16}{2}=8).

Answer:

A. 8