Understanding Proportional Relationships in Business Electricity Costs

The video tutorial explains the proportional relationship between business operation hours and electricity costs using a graph. The instructor guides viewers through identifying the constant of proportionality by analyzing a specific point on the graph. The tutorial then evaluates different statements about the graph, confirming the correct interpretation of the data and disproving incorrect assumptions.

What is the relationship between the number of hours a business operates and its total electricity cost?

• It is a linear relationship.

• It is a proportional relationship.

• It is an exponential relationship.

• It is a quadratic relationship.

Tags

CCSS.7.EE.B.3

How is the total cost of electricity calculated in this scenario?

• By dividing the number of hours by a constant.

• By subtracting a fixed cost from the number of hours.

• By multiplying the number of hours by a constant.

• By adding a fixed cost to the number of hours.

Tags

CCSS.7.RP.A.2B

What is the constant of proportionality in this problem?

• 40

• 25

• 30

• 35

Tags

CCSS.7.RP.A.2D

What does the y-coordinate of point A represent in the graph?

• The total cost of electricity for one hour.

• The number of hours the business operates.

• The constant of proportionality.

• The total cost of electricity for four hours.

Tags

CCSS.5.OA.B.3

Which statement is true about the total cost of electricity when the business operates for four hours?

• It is $160.

• It is $100.

• It is $120.

• It is $140.

Tags

CCSS.5.MD.B.2

What is the total cost of electricity when operating the business for one hour?

• $25

• $40

• $30

• $35

Why is it important to use the proportional relationship to determine the cost for one hour?

• To ensure the cost is calculated accurately.

• To ensure the cost is not underestimated.

• To ensure the cost is not overestimated.

• To ensure the cost is rounded to the nearest ten.

Tags

CCSS.7.RP.A.2D

What is the correct interpretation of the graph regarding the cost for one hour?

• The cost is exactly $35.

• The cost is exactly $30.

• The cost is closer to $20.

• The cost is closer to $40.

Tags

CCSS.7.RP.A.2B

Which statement is not true about the graph?

• The cost for one hour is $35.

• The cost for four hours is $120.

• The relationship is proportional.

• The constant of proportionality is 30.

Tags

CCSS.7.NS.A.1C

What is the final step in solving the problem?

• Selecting none of the above.

• Selecting the incorrect statements.

• Selecting all of the above.

• Selecting the correct statements.

Tags

CCSS.7.NS.A.1C