Which of the following functions functions has a rate of change that stays the same?

y=1/3x^2
y=2x
y=-7x+9
y=x^2+1

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.

Option B and C

Step-by-step explanation:

We are given that

1.

Differentiate w.r.t x

By using the formula

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

2.

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

Hence, it stays the same.

3.

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

Hence, it stays the same.

4.

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

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step-by-step explanation: