Graphs and Equations

What are the dependent quantities from the table?

• {-3, -2, -1, 0, 1, 2, 3}

• {9, 6, 3, 0, -3, -6, -9}

• x

• y

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 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

What algebraic equation shows the relationship between the independent and dependent variables?

• y = ax

• y = x + 12

• y = -3x

• y = 

Which list shows the dependent quantities in the graph?

• 5, 10, 15, 20, 25, 30, 35

• 3, 6, 9, 12, 15, 18, 21

• 1, 2, 3, 4, 5, 6, 7

• 2, 4, 6, 8, 10, 12, 14

Which statement describes the relationship between x and y in these two equations?

• In y = 5x and y = x + 5, the value of y is 5 times the value of x.

• In y = 5x and y = x + 5, the value of y is 5

  more than the value of x.

• In y = 5x the value of y is 5 more than the

  value of x, and in y = x + 5 the value of y is

  5 times the value of x.

• In y = 5x the value of y is 5 times the value

  of x, and in y = x + 5 the value of y is 5 more than the value of x.

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

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

What are the dependent quantities represented in this table?

• 0, 2, 4, 6, 8, 10, 12, 14, 16

• 1, 2, 3, 4, 5, 6, 7, 8

• 2, 3, 4, 5

• 6, 9, 12, 15