Analyze the Relationship Between Two Variables

Two Variable Relationships

Multiple Choice

What is the independent variable?

• Number of Miles Traveled

• Gallons of Gas

• Miles per Gallon

• Price per Gallon

Multiple Choice

What is the dependent variable?

• Rate of Pay

• Number of Hours

• Amount Earned

• Number of Minutes

Multiple Choice

Which of the following best represents the dependent quantities in the graph?

• 2, 20, 4, 40

• 2, 4, 6, 8

• 20, 40, 60, 80

• 10, 20, 30, 40, 50

Multiple Choice

Which of the following best represents the independent quantities in the table?

• 2, 7.5, 3, 11.25

• 7.5, 11.25, 18.75, 30

• 2, 3, 5, 8

• 20, 30, 50, 80

Writing Equations from Tables

1. Find the rule from x to y.

2. The rule must be the same for the entire table.

3. Write the equation with the DEPENDENT variable first. (y=)

Multiple Choice

Which equation represents the relationship?

• $$d=h+9$$

• $$h=9d$$

• $$h=d+9$$

• $$d=9h$$

Multiple Choice

Which equation best represents the relationship in the table?

• $$b=15f$$

• $$f=15b$$

• $$f=b+15$$

• $$f=15-b$$

Multiple Choice

Write an equation that represents the relationship between the variables in the table.

• t=10d

• t=d-9

• t=10-d

• d=t+10

Multiple Choice

What is the algebraic equation for this table?

• y = x + 3

• y = 3x

• y = x ÷ 3

• y = x - 3

Multiple Choice

Which equation matches the table?

• y = x

• y = 5x

• y = x - 4

• y = x + 4

Multiple Choice

Is the picture showing an additive or a multiplicative relationship?

• Additive
• Multiplicative

Multiple Choice

Is the picture showing an additive or a multiplicative relationship?

• Additive
• Multiplicative

Multiple Choice

y = 4x

• Additive

• Multiplicative

Multiple Choice

y = x + 3

• Additive

• Multiplicative

Multiple Choice

y = x + 2

• Additive

• Multiplicative

Multiple Choice

y = 3x

• Additive

• Multiplicative

Multiple Choice

Is the graph showing an additive or a multiplicative relationship?

• Additive

• Multiplicative

Multiple Choice

Which graphs show an additive relationship?

• A only
• A & C only
• A & D only
• B & C only

Multiple Choice

Is the graph showing an additive or a multiplicative relationship?

• Additive

• Multiplicative

Algebraic Relationships can be represented with TABLES, GRAPHS, EQUATIONS, & VERBAL SITUATIONS.

Multiple Choice

Which equations best represents the graph?

• m = 150h

• h = 150m

• m = 75h

• h = 75m

Multiple Choice

Which of the following situations is best represented by the equation

$$y=15x$$  ?

• Mr. Salazar curved (added points) the test by 15 points. 

• There were 15 more questions on the test than the last test. 

• Mr. Salazar took off 15 points for not showing your work on the test. 

• On the test, each question correct was worth 15 points. 

Multiple Choice

Which of the following tables best represents the equation

$$y=x-16$$  ?

Multiple Choice

Which table represents the equation

$$c=g+8$$  ?

Multiple Choice

Write an equation from the graph (Hint: make a table first)

• y = x + 15

• x = 15y

• y = 15x

• x = y + 15

Multiple Choice

A firefighter uses equipment that weighs 60 pounds. The firefighter weighs x pounds. Which equation can be used to find t, the total weight of both the firefighter and his equipment in pounds?

• t = 60x

• t = x+60

• t = 60-x

• t = x-60

Multiple Choice

A carpenter charges $720 for 18 hours of work. She charges the same amount of money for each hour of work. Which table shows the relationship between the amount of time the carpenter works and the amount of money she charges?

• A

• B

• C

• D