Dependent and Independent Variables in Context

In lesson 32, Mr. Hul guides students through multi-step problems involving variables and equations. The lesson covers identifying independent and dependent variables, graphing equations, and performing calculations. Students are given exercises to practice these concepts, including creating graphs and solving equations. The lesson concludes with a final exercise to reinforce learning.

In the scenario where beverages are bought in packs, what is the dependent variable?

• Number of packs

• Total number of beverages

• Price per pack

• Number of guests

When graphing the relationship between packages and beverages, which axis represents the independent variable?

• X-axis

• Z-axis

• W-axis

• Y-axis

What does the coefficient in the equation M = 50H represent in the context of the graph?

• The dependent variable

• The independent variable

• The total number of hours

• The rate of change

How much does Quenton save after 3 weeks if he saves $30 each week?

• $60

• $90

• $120

• $150

In the savings graph, what is the independent variable?

• Number of weeks

• Amount saved per week

• Interest rate

• Total savings

What is the fixed cost for entering the fair in Eliana's scenario?

• $3

• $8

• $5

• $10

If Eliana rides 2 rides at the fair, what is her total cost?

• $11

• $8

• $14

• $17

In the fair cost model, what does the variable R represent?

• Total cost

• Number of rides

• Entry fee

• Total rides cost

What is the equation used to calculate the total cost at the fair?

• T = 5R + 3

• T = 3R + 5

• T = 5 + 3R

• T = 3 + 5R

What is the dependent variable in the fair cost scenario?

• Total cost

• Number of rides

• Cost per ride

• Entry fee