allyherrr
Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Function A and Function B are linear functions. Function A is
represented by a table of values. Function B is represented by an equation.
Function A
Function B
y = 3x + 4
х
у
1
2
3
10
4
14
7
26
Which statement about the properties of Function A and Function B are true?
Select ALL that apply
A. The y-intercept of Function A is equal to the y-intercept of Function B
ロロロロ
B. The y-intercept of Function A is less than the y-intercept of Function B.
C. The y-intercept of Function A is greater than the y-intercept of Function B.
D. The rate of change of Function A is equal to the rate of change of Function B
E. The rate of change of Function A is less than the rate of change of Function B
F. The rate of change of Function A is greater than the rate of change of Function B

Function A And Function B Are Linear Functions Function A Is Represented By A Table Of Values Function B Is Represented By An Equation Function A Function B Y 3 class=

Sagot :

facundo3141592

First, we will find the equation for line A, then we will see that the correct options are B and F.

Working with linear equations:

A general linear equation is written as:

y = a*x + b

Where a is the slope (or rate of change) and b is the y-intercept.

If we know that the line passes through two points (x₁, y₁) and (x₂, y₂), the slope can be written as:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

We can use that to find the slope for equation A.

I will use the points (1, 2) and (3, 10).

[tex]a = \frac{10 - 2}{3 - 1} = 4[/tex]

then the equation is something like:

y = 4*x + b

To find the value of b, we can use one of the two points above, for example, if we use the first one, it means that when x = 1 we must have y = 2, then:

2 = 4*1 + b

2 - 4 = b

-2  =b

The equation for line A is:

y = 4*x - 2

Then we have:

  • Line A:  y = 4*x - 2
  • Line B: y = 3*x + 4.

Then the statements that are correct are:

B) "The y-intercept of Function A is less than the y-intercept of Function B."

F) "The rate of change of Function A is greater than the rate of change of Function B"

If you want to learn more about linear equations, you can read:

https://brainly.com/question/4074386

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.