Mid Chapter 4 Quiz

The graph below shows the height of a hot air balloon during a trip. What are the variables? Describe how they are related at various points on the graph.

• The variables are height and time. The balloon rises quickly to a certain height, levels off for a while, then gradually returns to the ground.

• The variables are height and time. The balloon gradually rises to a certain height, levels off for a while, then quickly returns to the ground.

• The variables are hours and feet. The balloon rises quickly to a certain height, levels off for a while, then gradually returns to the ground.

• The variables are hours and feet. The balloon gradually rises to a certain height, levels off for a while, then quickly returns to the ground.

The table shows the total number of people in attendance at a drama club after 1, 2, 3, and 4 weeks. Sketch a graph that could represent the data.

• A

• B

• C

What is the relationship between the number of vertices in each polygon and the number of isosceles triangles?

• No relationship

• The number of vertices equal the number of isosceles triangles.

• The number of vertices equal the number of isosceles triangles plus one.

• The number of vertices equal the number of isosceles triangles minus one.

Use the table to answer the following question. Is the relationship a linear function? How do you know? What is equation that describes this relationship?

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What is an equation that describes the relationship? The surface area of a cube is a function of the side length of the cube as shown in the table. Is the function linear or nonlinear?

• nonlinear

• linear

The order pairs (1, 2), (2, 5), (3, 10), (4, 17), and (5, 26) represent a function. What is a rule that could represent this function?

• y = x^2 +1

• y = x^2 - 1

• y = x^2

• y = x + 1

Tell whether the function shown by the table below is linear or nonlinear.

• linear

• nonlinear

The graph shows the number of milk cartons in the refrigerator section of a grocery store as time passes. What are the variables? Describe how the variables are related at various points in the graph.

• The variables are the number of cartons (y) and the time (x), each dip in the graph represents a purchase, and the final horizontal line represents the shelves being restocked.

• The variables are the number of cartons (y) and the time (x), each horizontal section of the graph represents a purchase, and the final horizontal line represents the shelves being restocked.

• The only variable is the number of cartons (y); each dip in the graph represents a purchase, and the final horizontal line represents the shelves being restocked.

• The only variable is the number of cartons (x); each horizontal section of the graph represents a purchase, and the final horizontal line represents the shelves being restocked.

Does the graph represent a linear function or a nonlinear function? Explain.

• A. Linear; the graph is a straight line.

• B. Linear; the graph has values in two of the quadrants.

• C. Nonlinear; the graph is not a straight line.

• D. Nonlinear; the graph only has values in two of the quadrants.

The height of a tree increases as time passes. Your friend says that time is the dependent variable because size depends on time. Is your friend correct? Explain.

• A. Yes; height depends on time, so time is dependent variable and height is the independent variable.

• B. Yes; time depends on height, so time is dependent variable and height is the independent variable.

• C. No; time depends on height, so height is the dependent variable and time is the independent variable.

• D. No; height depends on time, so height is the dependent variable and time is the independent variable.