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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
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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

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