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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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Step-by-step explanation:

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3 years ago
Help please. Having some trouble with this question
xeze [42]

Answer:

The answer to your question is 55 ft

Step-by-step explanation:

Data

Person's height = 5 ft

Person's shadow = 10 ft

Tree's height = ?

Tree's shadow = 110 ft

- Use the Thales' theorem to solve this problem

 Person's height / Person's shadow = Tree's height / Tree's shadow

- Substitution

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-Solve for x

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-Simplification

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-Result

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The tree is 55 ft height

5 0
3 years ago
Find the percent of change. Round your answer to the nearest tent necessary, Please explain.
Marysya12 [62]

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Step-by-step explanation:

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Flauer [41]

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