Question

this is an assignment that has four different parts so if you can help me with the four of them it would be great if not you can just do one. the first one says function A and B or linear function and are shown or described below. which function has the greater rate of change function a has a greater rate of change or function B has a greater rate of change.the second part says function A and B are linear functions and are shown or described below function 8 is defined by the equation y equals 4x + 2 function B has a table with x and y 4x I has numbers 1 2 4 and then the y side has 17 22 and 32.explain how you know which function has a greater rate of change.the third part of this says function A and B are linear functions and are shown or described below. function A is defined by the equation y equals 4x + 2.function B is represented in the table below there is a graph with an x side and a y side in the x aidw it has numbers 1 2 4 in the y side it has numbers 17 22. 32 the question says which function has a greater y intercept function a has the greatest y-intercept or function B has a greater y intercept

Answer 1

Function A

y=4x+2

Function B (table)

Slope intercept form:

y=mx+b

Where:

m= slope

b= y-intercept

For function a, the slope (rate of change) is 4.

For function B, apply the slope formula:

`m=(y2-y1)/(x2-x1)`

Where: (from the table)

(x1,y1) = (1,17)

(x2,y2) = (2,22)

Replacing:

`m=(22-17)/(2-1)=(5)/(1)=5`

rate of change A =4

rate of change B =5

Function B has a greater rate of change.

• Y-intercept

For the first equation the y-intercept is 2

y= mx+b

b= y intercept

The y-intercept is the value of x where y=0

for the second function, first, we have to wind the equation.

y=mx+b

so far we have _

y= 5x+b

replace x,y for a coordinate point from the table, for example (1,17), and solve for b

17=5(1)+b

17=5+b

17-5=b

12=b

So:

y intercept A = 2

y-intercept B = 12

Function B has a greater y-intercept