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Which function listed below has a greater rate of change
than the one in the graph?

A. f(X)= -0.3x + 2

B. f(X)= x + 1

C. f(X)= 0.1x + 2

D. f(X)= -0.25x - 3

Which Function Listed Below Has A Greater Rate Of Change Than The One In The Graph A FX 03x 2 B FX X 1 C FX 01x 2 D FX 025x 3 class=

Sagot :

GETLIKEAJidn
The android is D it have the greater rate of change

A slope is also known as the gradient of a line. The listed function that has a greater rate of change than the one in the graph is f(X)= x + 1.

What is Slope?

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

slope = (y₂-y₁)/(x₂-x₁)

The coordinates through which the line of the graph is passing are (0,-4) and (6,0). Thus, the slope of the given line is,

Slope, m = (-4 - 0)/(0 - 6) = -4/-6 = 2/3 = 0.6667

Comparing the given equation with the general equation of a line, y=mx+c, where m is the slope of the line. Therefore, the slope of the given lines is,

A. f(X)= -0.3x + 2

slope = -0.3x

Hence, the slope is less than the slope of the given graph.

B. f(X)= x + 1

slope = 1

Hence, the slope is greater than the slope of the given graph.

C. f(X)= 0.1x + 2

slope = 0.1x

Hence, the slope is less than the slope of the given graph.

D. f(X)= -0.25x - 3

slope = -0.25x

Hence, the slope is less than the slope of the given graph.

Hence, the listed function that has a greater rate of change than the one in the graph is f(X)= x + 1.

Learn more about Slope of Line here:

https://brainly.com/question/14511992

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