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matrenka [14]
3 years ago
7

Calculate the rate of change for the following data:

Mathematics
1 answer:
Licemer1 [7]3 years ago
6 0

Given:

The table of values.

To find:

The rate of change.

Solution:

From the given table it is clear that the rate of change is constant and function passes through two points (-1,5) and (2,-4). So, the rate of change is

m=\dfrac{y_2-y_1}{x_2-x_1}

m=\dfrac{-4-5}{2-(-1)}

m=\dfrac{-9}{2+1}

m=\dfrac{-9}{3}

m=-3

So, the rate of change is -3.

Therefore, the correct option is C.

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