The average rate of change for the interval from x = 1 to x = 3 is 5. therefore, option B the most appropriate choice.
What is the average rate of change?
The average Rate of Change of the function f(x) can be calculated as;
[tex]f(x) = \dfrac{f(b) - f(a)}{b-a}[/tex]
Rate is defined as the ratio between two related quantities in different units.
Average rate of change = f(b) - f(a) / (b - a)
We were given a = 1, f(a) = 7 ,b = 3, f(b) = 13
We need to find the average rate of change for the interval from x = 1 to x = 3.
So,
Average rate of change = 13 - 3 / 3 - 1
Average rate of change = 10 / 2 = 5.
Hence, The average rate of change for the interval from x = 1 to x = 3 is 5.
therefore, option B the most appropriate choice.
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