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Viktor [21]
3 years ago
12

If x represents time, the average rate of change of the function f(x) in the first three seconds is ___.

Mathematics
2 answers:
DaniilM [7]3 years ago
7 0
<h2>Answer</h2>

If x represents time, the average rate of change of the function f(x) in the first three seconds is -50.

<h2>Explanation</h2>

The average rate of change of a linear function is the slope of the liner function. To find the slope of our linear function, we are using the slope formula:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

where

m is the slope of the line

(x_{1},y_{1}) are the coordinates of the first point on the line

(x_{2},y_{2}) are the coordinates of the second point

From our graph we can get the points (0, 150) and (3, 0), so x_{1}=0, y_{1}=150, x_{2}=3, and y_{2}=0. Let's replace the values in our formula to find the slope of our linear function:

m=\frac{0-150}{3-0}

m=\frac{-150}{3}

m=-50

Since the average of change a linear function is equal to its slope, the average rate of change of the function in the first three seconds is -50

Tresset [83]3 years ago
3 0
The average rate of change is -5/4
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