goobttv
Answered

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WILL GIVE BRAINLIEST
Examine the table, which represents a linear function.
Input (x) Output (y)
−5 18
−3 23
−1 28
1 33
What is the rate of change of the function?

Enter your answer as a fraction, formatted like this: 42/53

Sagot :

cinderofsoulsss

Answer:

5/2

Step-by-step explanation:

Since it's linear, you don't need more than 2 points.

To find the slope, or rate of change, just divide the change in y by the change in x. If (-5, 18) is (x1, y1) and (-3, 23) is (x2, y2):

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{23-18}{-3--5}\\\\m=\frac{5}{2}[/tex]

The rate of change is 5/2. If you want to be extra sure, check it with 2 other points:

[tex]m=\frac{33-28}{1--1}\\\\m=\frac{5}{2}[/tex]

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