Question

40 POINTS

Question 5(Multiple Choice Worth 4 points)

(07.04A)

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

Function 1
A coordinate plane graph is shown. A horizontal line is graphed passing through the y-axis at y = 6.

Function 2
y = 2x + 7

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

1
2
3
4

Answer 1

2

Explanation:

Linear equation form: y = mx + b

(where m is the slope and b is the y-intercept)

The rate of change for a line is the slope.

Function 1: y = 6

⇒ the slope is zero so the rate of change is zero

Function 2: y = 2x + 7

⇒ the slope is 2 so the rate of change is 2

Therefore, 2 - 0 = 2

So the rate of change of function 2 is 2 more than the rate of change of function 1