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Question 4(Multiple Choice Worth 4 points)
(04.01)

The graph represents function 1, and the equation represents function 2:

A coordinate plane graph is shown. A horizontal line is graphed passing through the y-axis at y = 3.

Function 2
y = 5x + 4

How much more is the rate of change of function 2 than the rate of change of function 1?

A 2
B 3
C 4
D 5

Answer :

MrRoyal

Answer:

[tex]D. 5[/tex]

Step-by-step explanation:

The graph of function 1 is not given. However, the question can still be solved using the available details

First, we need to determine the rate of change of function 2

[tex]y = 5x + 4[/tex]

The general form of an equation is:

[tex]y = mx + b\\\\\\[/tex]

Where

m = rate of change

So:

[tex]m_2 = 5[/tex]

Next, we need to determine the rate of change of function 1

From the question, we understand that a horizontal line passes through point 3 on the y axis.

Irrespective of where the horizontal line passes, the rate of change is 0

So:

[tex]m_1 = 0[/tex]

Lastly, we calculate the difference between both rates:

[tex]Difference = m_2- m_1[/tex]

[tex]Difference = 5 - 0[/tex]

[tex]Difference = 5[/tex]

coloradoava08

Answer:

D

Step-by-step explanation:

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