Question

Question 1
A)Which table shows a constant rate of change of -3?(1 point)
Responses








Question 2
A)
Identify whether the graph displays a linear or nonlinear function and why.



(2 points)
Linear or nonlinear function?

How do you know?

Question 3
A)
Identify whether the graph displays a linear or nonlinear function and why.



(2 points)
Linear or nonlinear function?

How do you know?

Question 4
A)Which representations display nonlinear functions? Select the two that apply.(2 points)
Responses








Question 5
A)Which graph displays a rate of change of 2.5?(1 point)
Responses






Question 6
A)
Rachel found the following rate of change for the scenario in this table.



What can you conclude about her work? Select the two that apply.

(2 points)
Responses

The scenario is represented by a nonlinear function, since the rate of change is constant.
The scenario is represented by a nonlinear function, since the rate of change is constant.

The scenario is represented by a linear function, since the rate of change is constant.
The scenario is represented by a linear function, since the rate of change is constant.

The berries are picked at a constant rate of 53 berries per hour.
The berries are picked at a constant rate of 53 berries per hour.

The berries are not picked at a constant rate.
The berries are not picked at a constant rate.

Answer 1

To help you with your questions, it seems additional context such as specific tables, graphs, or response options is needed. However, I can provide general guidance on how to answer similar questions related to rates of change and determining whether a function is linear or nonlinear.

### Question 1
When determining which table shows a constant rate of change of -3, you can do so by looking for a consistent difference in the dependent variable as the independent variable increases. If each time the independent variable increases by 1, the dependent variable decreases by 3, that table will have a constant rate of change of -3.

### Question 2
- **Linear or nonlinear function?**
- You can determine this by checking if the graph is a straight line.
- **How do you know?**
- A function is linear if it can be represented by a line with a constant slope, meaning that the rate of change between any two points is the same. Look for consistent increments in y with respect to increments in x.

### Question 3
The process is the same as in Question 2. Analyze the graph provided:
- **Linear or nonlinear function?**
- **How do you know?**

### Question 4
To identify whether a representation displays nonlinear functions, look for patterns or types of curves (like parabolas, circles, etc.) that do not maintain a constant rate of change. Select the two representations that clearly demonstrate this behavior.

### Question 5
For a graph displaying a rate of change of 2.5, look for a line where each step changes in y corresponds to a 2.5 increase for every step in x (e.g., if x increases by 1, y increases by 2.5 consistently).

### Question 6
For Rachel's work:
- **The scenario is represented by a nonlinear function, since the rate of change is constant.** (This statement is contradictory; a constant rate of change indicates a linear function.)
- **The scenario is represented by a linear function, since the rate of change is constant.** (This is correct if she found a constant rate of change.)
- **The berries are picked at a constant rate of 53 berries per hour.** (If the rate is constant, this would imply a linear function.)
- **The berries are not picked at a constant rate.** (This contradicts the idea of constant rate.)

From Rachel's findings, choose the statements that align with the concept of linear functions given a constant rate.

Please add the specific tables or graphs mentioned in the questions for tailored responses!