Question

Which function has a constant additive rate of change of –1/4?

Answer 1

Your question is missing options, therefore, I can only help with the procedures.

Now, the constant additive rate of change of a function is simply defined as the slope of the function

We have two possibilities here:

1- If the functions were given as equations:

The form of the linear equation is:

y = mx + b

In this equation, m represents the slope

So, if the equations are given, search for the equation which has m = $\frac{-1}{4}$ and it will be your answer

2- If the functions were given as graphs:

In this case, you will have to calculate the slope for each graph and pick the one having slope = $\frac{-1}{4}$

This is done as follows:

1- pick two points on the graph: (x₁, y₁) and (x₂, y₂)

2- Calculate the slope using the following rule:

$m = \frac{y_{2}- y_{1} }{x_{2}- x_{1}}$

Hope this helps :)

Answer 2

Answer:

Your question is missing options, therefore, I can only help with the procedures.

Now, the constant additive rate of change of a function is simply defined as the slope of the function

We have two possibilities here:

1- If the functions were given as equations:

The form of the linear equation is:

y = mx + b

In this equation, m represents the slope

So, if the equations are given, search for the equation which has m =  and it will be your answer

2- If the functions were given as graphs:

In this case, you will have to calculate the slope for each graph and pick the one having slope =

This is done as follows:

1- pick two points on the graph: (x₁, y₁) and (x₂, y₂)

2- Calculate the slope using the following rule:

Step-by-step explanation:

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