Understanding Proportional Relationships

Mrs. Lopez teaches a lesson on representing proportional relationships with equations. She explains the concept of constant ratio and constant of proportionality, denoted by K, and how to find it by dividing Y by X. The lesson includes examples such as calculating gas mileage and determining the number of portraits drawn over time. The video concludes with a summary and homework instructions.

What is the constant of proportionality in a proportional relationship?

• The ratio of Y to X

• The product of X and Y

• The difference between X and Y

• The sum of X and Y

In the gas station example, what is the constant of proportionality?

• 30 miles per gallon

• 26 miles per gallon

• 28 miles per gallon

• 14 miles per gallon

How do you calculate the number of miles driven using the constant of proportionality?

• Divide the number of gallons by the constant

• Multiply the number of gallons by the constant

• Add the constant to the number of gallons

• Subtract the constant from the number of gallons

If a car can travel 504 miles on 18 gallons of gas, what is the constant of proportionality?

• 30 miles per gallon

• 26 miles per gallon

• 28 miles per gallon

• 24 miles per gallon

How many gallons are needed to travel 750 miles if the constant of proportionality is 28?

• 27 gallons

• 26 gallons

• 25 gallons

• 28 gallons

In Jaden's portraits example, what does the ordered pair (2, 3) represent?

• 3 hours for 2 portraits

• 2 portraits in 3 hours

• 3 portraits in 2 hours

• 2 hours for 3 portraits

What is the constant of proportionality in Jaden's portraits example?

• 1.5 portraits per hour

• 1 portrait per hour

• 2 portraits per hour

• 2.5 portraits per hour

What does the point (0, 0) signify in the context of Jaden's portraits?

• One portrait is drawn in zero hours

• No portraits can be drawn without time

• No time is needed to draw portraits

• Zero portraits are drawn in one hour

How do you determine if a relationship is proportional from a graph?

• The graph is a curved line

• The graph is a straight line through the origin

• The graph is a straight line not through the origin

• The graph is a horizontal line

What equation represents the relationship between time and portraits in Jaden's example?

• n = 2t

• n = 3t

• n = 1.5t

• n = 0.5t