the average rate of change from x = 0 to x = 15 is about -4.667. how does the average rate of change from x…

the average rate of change from x = 0 to x = 15 is about -4.667. how does the average rate of change from x = 0 to x = 20 compare to this number? the average rate of change from x = 0 to x = 20 is decreasing the average rate of change from x = 0 to x = 15

the average rate of change from x = 0 to x = 15 is about -4.667. how does the average rate of change from x = 0 to x = 20 compare to this number? the average rate of change from x = 0 to x = 20 is decreasing the average rate of change from x = 0 to x = 15

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}).

Step2: Find the average rate of change from (x = 0) to (x=20)

From the graph, when (x = 0), (y=80) (since the (y) - intercept is (80)), and when (x = 20), (y = 0). Using the formula (\frac{f(20)-f(0)}{20 - 0}=\frac{0 - 80}{20-0}=\frac{- 80}{20}=-4)

Step3: Compare the two average rate of changes

The average rate of change from (x = 0) to (x = 15) is (\frac{f(15)-f(0)}{15 - 0}). From the graph, when (x = 15), (y = 20), so (\frac{20 - 80}{15-0}=\frac{-60}{15}=-4.667) (approx). Since (-4>-4.667), the average rate of change from (x = 0) to (x = 20) is greater than the average rate of change from (x = 0) to (x = 15)

Answer:

greater than