Question

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 1

D

Explanation:

Answer 2

`D. 5`

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

`y = 5x + 4`

The general form of an equation is:

`y = mx + b\\\\\\`

Where

m = rate of change

So:

`m_2 = 5`

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:

`m_1 = 0`

Lastly, we calculate the difference between both rates:

`Difference = m_2- m_1`

`Difference = 5 - 0`

`Difference = 5`