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

Answer:

5

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

Step-by-step 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