Direct Proportionality Concepts

The video explains the concept of direct proportion, where two variables increase or decrease at the same rate. It uses the example of hours worked and pay to illustrate this relationship. The video also demonstrates how to graph direct proportion relationships, highlighting that the graph is a straight line passing through the origin. It shows how to use such graphs to calculate earnings for different hours worked. The video concludes by summarizing the key points about direct proportion and its graphical representation.

What does it mean when two variables are directly proportional?

• One variable increases while the other decreases.

• Both variables increase or decrease at the same rate.

• Both variables decrease at different rates.

• One variable remains constant while the other changes.

In the example of hours worked and money earned, what symbol is used to show direct proportionality?

• Multiplication sign

• Greater than sign

• Equal sign

• Proportional symbol

If you work 5 hours and earn 60 pounds, how much would you earn if you worked 10 hours?

• 120 pounds

• 90 pounds

• 60 pounds

• 30 pounds

What is a key feature of a graph representing direct proportionality?

• It is a curved line.

• It passes through the origin.

• It has multiple peaks.

• It is a horizontal line.

On a graph of direct proportionality, what does the point (0,0) represent?

• The maximum value of the variables.

• The starting point of the graph.

• The point where both variables are zero.

• The midpoint of the graph.

How much would you earn if you worked 3.5 hours, according to the graph example?

• 24 pounds

• 35 pounds

• 12 pounds

• 42 pounds

What is the main takeaway about the relationship between two directly proportional variables?

• They have no relationship.

• One remains constant while the other changes.

• They increase or decrease independently.

• They increase or decrease proportionally.

If one variable doubles in a direct proportionality, what happens to the other variable?

• It halves.

• It remains the same.

• It doubles.

• It triples.

What does a straight line through the origin on a graph indicate about the variables?

• They are directly proportional.

• They are constant.

• They are unrelated.

• They are inversely proportional.

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