Question

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

Function 2 y = 4x + 1

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

Answer 1

Your answer is two!!

Answer 2

Greetings from Brasil...

In a linear function, the rate of change is given by M (see below).

F(X) = Mx + N

M = rate of change

N = linear coefficient

The Function 2 has M = 4, cause

F(X) = 4X + 1

(M = 4 and N = 1)

For Function 1 we have a rate of change equal to zero, becaus it is a constant function... let's see:

M = ΔY/ΔX

M = (3 - 3)/(4 - 0)

M = 0/4 = 0

So, the Function 2 has 4 times more rate of change than the first