Equations from Table and Graphs

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

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 relationship correctly shows the relationship between the number of girls and the number of boys in each of Ms. Smith's classes?

• b = g + 5

• b = g - 5

• b = g + 2

• b = g - 2

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

In this equation, what is the y-intercept?

^{y = 3x - 4}

• 3

• -4

• 4

• 3x