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svp [43]
3 years ago
15

Find the average rate of change of the function defined by the following table. x y -2 -5 2 35 6 75 10 115

Mathematics
1 answer:
Pani-rosa [81]3 years ago
6 0

By definition we have that the average rate of change of the function is:

 AVR =  \frac{f(x2) - f(x1)}{x2 - x1}

 Evaluating the function for the complete interval we have that the AVR is given by:

 AVR = \frac{115 - (-5)}{10 - (-2)}

 Rewriting we have:

 AVR = \frac{115+5}{10+2}

 Simplifying the expression we have:

 AVR = \frac{120}{12}

 AVR = 10

 Answer:

 the average rate of change of the function defined by the table is:

 AVR = 10

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