Question

Which functions have an additive rate of change of 3? Select two options.

a) y = 2x + 3

b) y = 3x + 4

c) y = x² + 3x

d) y = 5 - 2x

Answer 1

The functions which have an additive rate of change of 3 are y = 3x + 4 and y = x² + 3x.

Step-by-step explanation:

To determine which functions have an additive rate of change of 3, we need to examine the coefficients of the x terms in each option. An additive rate of change of 3 means that for every 1 unit increase in x, the y value increases by 3 units. Looking at the options:

a) y = 2x + 3: The coefficient of x is 2, so the rate of change is 2. This option does not have an additive rate of change of 3.

b) y = 3x + 4: The coefficient of x is 3, so the rate of change is 3. This option has an additive rate of change of 3.

c) y = x² + 3x: This option is not a linear function, so we cannot determine the rate of change using the coefficient of x.

d) y = 5 - 2x: The coefficient of x is -2, so the rate of change is -2. This option does not have an additive rate of change of 3.

Therefore, the correct options are (b) y = 3x + 4 and (c) y = x² + 3x.