Question

Pls helpp :)

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?

2
3
4
5

Answer 1

5

The rate of change of function 2 is 5 times more that function 1

Explanation:

Function 1:

Since line is a horizontal line and it passes through
`y=3`, therefore the line is parallel to x-axis with slope
`m=0` as all lines parallel to x-axis have slope =0.

The function can be written as
`y=3` and the rate of change of this function is =0 as slope =0.

Function 2:

`y=5x+4`

On comparing the above function from the standard equation of line
`y=mx+b` (where
`m` represents slope and
`b` represents
`y-`intercept) we find out that the slope
`m=5`.

Rate of change of this function = 5

Difference in rates of change for function 2 and function 1 =
`5-0=5`

∴ The rate of change of function 2 is 5 times more that function 1