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The two linear functions ƒ(x) and g(x) are shown below.
ƒ(x) = 5/6x + 3
Which of the following is true?
A. The rate of change of the function g(x) is –2.
B. The rate of change of ƒ(x) is times the rate of change of g(x).
C. The rate of change of ƒ(x) is greater than the rate of change of g(x).
D. The product of the rate of changes of ƒ(x) and g(x) is -6.

The two linear functions ƒx and gx are shown below ƒx 56x 3 Which of the following is true A The rate of change of the function gx is 2B The rate of change of ƒ class=

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Answer:

A

Step-by-step explanation:

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The rate of change of f(x) is 5/6 times the rate of change of g(x)

Which statement is true?

We know that f(x) = (5/6)*x + 3

To get the equation of g(x) we analyze the graph, we can see that the line passes through (0, -2) and (2, 0), so the y-intercept is -2 and the slope is:

[tex]a = (0 - (-2))/(2 - 0) = 1[/tex]

So we have g(x) = x - 2

Then we can see that the correct statement:

"The rate of change of f(x) is 5/6 times the rate of change of g(x)".

Where for linear equations, the rate of change is the slope.

If you want to learn more about linear equations:

https://brainly.com/question/1884491

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