Respuesta :

mberisso

Answer:

y = 2x   and y = -7x +9

Step-by-step explanation:

The two "linear" functions are those that have a constant rate of change. Actually, the slope (inclination) they show when plotted is that "rate of change".

The function : y = 2x, has a constant positive rate given by its slope (2).

The function : y= -7x +9 has a constant negative rate given by its slope (-7)

The other two functions are quadratic, represented by parabolas, and therefore don't have a constant rate of change.

lublana

Answer:

Option B and C

Step-by-step explanation:

We are given that

1.[tex]y=\frac{1}{3}x^2[/tex]

Differentiate w.r.t x

[tex]\frac{dy}{dx}=\frac{2}{3}x[/tex]

By using the formula

[tex]\frac{dx^n}{dx}=nx^{n-1}[/tex]

Rate of change of function  depend on x. Hence, it is not constant.

2.[tex]y=2x[/tex]

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

The rate of change of the function does not vary wit x.

Hence, it stays the same.

3.[tex]y=-7x+9[/tex]

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

The rate of change of the function does not vary wit x.

Hence, it stays the same.

4.[tex]y=x^2+1[/tex]

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

Rate of change of function  depend on x. Hence, it is not constant.

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