Independent and Dependent Variables Tables Graphs Equations

Rolando’s backpack weighs 2.5 pounds when it is empty. The total weight in pounds, y, of Rolando’s backpack when it contains x pounds of books is represented by the equation y = x + 2.5. Which table best represents this situation?

• A

• B

• C

• D

The table shows the relationship between d, the amount of money Elena has at the beginning of the day, and b, the amount of money she has after buying lunch. Which equation represents the relationship in the table?

• b = d - 3.75

• d = 2b

• d = b +1.25

• b = d + 3.75

• the independent variable is distance
• the independent variable is d=25 t
• the dependent variable is time
• the dependent variable is distance

The graph shows the number of points y, a player earns in a video game based on the number of diamonds the player collects, x.

Which equation best represents the relationship between x and y?

• x = y + 75

• y = x + 75

• y = 75x

• x = 75y

• A

• B

• C

• D

Which statement is true about the set of numbers and its relationship to the graph?

• {1,2,3,4} represent the set of dependent quantities shown in the graph.

• {2,4,6,8} represent the set of independent quantities shown in the graph.

• {1,2,3,4,6,8} represent the set of independent quantities shown in the graph.

• {2,4,6,8} represent the set of dependent quantities shown in the graph.

Which table represents the graph?

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• 
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The table shows a bicycle rider moving at a constant rate of speed. What is the dependent variable in this situation?

• rate

• time

• speed

• distance

What are the dependent quantities from the table?

• y=x

• y= -3x

• y=3x

• y=3x+9

The table below shows the relationship between x and y. What equation represents the same relationship?

• y = 4x

• y = x - 9

• y = ¹/4 x

• y = x + 9