machomalachi07
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I WILL GIVE YOU BRAINLIEST IF YOU ANSWER THE WHOLE QUESTION.
PLEASE EXPLAIN EVERY STEP OF YOUR ANSWER CLEARLY.

4. Which of the following functions has a rate of change that stays the same?
A. y=1/3x^2
B. y=2x
C. y=-7x+9 ****
D. y=x^2+1

Respuesta :

mirai123

Answer:

B)[tex]y=2x[/tex]   and     C) [tex]y=-7x+9[/tex]

Step-by-step explanation:

Once a linear function has a constant rate of change, you just have to find the linear functions. Also, the other ones are quadratic functions, and their graph are parabolas, which don't have a constant rate of change.

Considering [tex]f(x)=y[/tex]

[tex]f(x) = 2x[/tex]  has a constant positive rate of slope 2.  

[tex]$\frac{dy}{dx}=2 $[/tex]

[tex]f(x)=-7x+9[/tex] has a constant negative rate of slope -7

[tex]$\frac{dy}{dx}=-7 $[/tex]

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