Tables and Graphs to Equations

What rule would explain this input output table?

• The output is 3 times as much as the input.

• The input is 3 times as much as the output.

• The output is 8 times as much as the input.

• The input is 8 times as much as the output.

What is the algebraic equation for this table?

• y = 480x

• x = y/480

• x + 480 = y

• 480 - x = y

What are the independent quantities in the table?

• {5,6,7,8,9}

• {0,1,2,3,4}

• x

• y

What are the dependent quantities from the table?

• {-3, -2, -1, 0, 1, 2, 3}

• {9, 6, 3, 0, -3, -6, -9}

• x

• y

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

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 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

The graph shows the cost to rent a DVD from a kiosk. 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.