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 remains constant while the other changes.

• Both variables increase at the same rate.

• One variable increases while the other decreases.

• Both variables decrease at different rates.

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

• Proportional symbol

• Greater than sign

• Equal sign

• Less than sign

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

• 120 pounds

• 60 pounds

• 30 pounds

• 90 pounds

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

• It passes through the origin.

• It has multiple peaks.

• It is a curved line.

• It is a horizontal line.

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

• The point where both variables are zero.

• The average value of the variables.

• The starting point of the variables.

• The maximum value of the variables.

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

• 35 pounds

• 12 pounds

• 42 pounds

• 24 pounds

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

• If one variable doubles, the other halves.

• If one variable doubles, the other remains constant.

• If one variable doubles, the other also doubles.

• If one variable doubles, the other decreases.

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

• The variables are directly proportional.

• The variables are constant.

• The variables are inversely proportional.

• The variables are unrelated.

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

• It triples.

• It halves.

• It remains the same.

• It doubles.

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