Understanding Direct Variation Concepts

The video tutorial explains the concept of direct linear variation, where two quantities change together at the same rate, resulting in a straight-line graph. It covers the meaning of variation, direct variation, and linear variation, and how they relate to each other. The tutorial also discusses the equations used to represent direct linear variation, emphasizing the constant of proportionality. A practical example involving the pricing of pencil packets is used to illustrate these concepts in a real-world context.

What does the term 'variation' refer to in the context of direct linear variation?

• Quantities that remain constant

• Quantities that change in a specific way

• Quantities that are always decreasing

• Quantities that are always increasing

In direct variation, how do two quantities change?

• Both change in the same direction

• Both change in opposite directions

• One remains constant while the other changes

• One increases while the other decreases

What is the result when graphing a linear variation?

• A curved line

• A dotted line

• A zigzag line

• A straight line

What is the constant of proportionality in direct linear variation?

• A fixed point on a graph

• A constant that indicates proportionality

• A variable that changes

• A random number

How can you identify if two quantities are in direct linear variation?

• By subtracting one from the other

• By adding them together

• By multiplying them together

• By dividing one by the other to get a constant

In the example of pencil packets, what does the price depend on?

• The color of the pencils

• The brand of pencils

• The number of packets bought

• The time of purchase

What is the independent variable in the pencil packet example?

• The total cost

• The price of pencils

• The number of pencils in a packet

• The number of packets bought

What is the dependent variable in the pencil packet example?

• The color of pencils

• The number of packets bought

• The price of pencils

• The brand of pencils

If the price per packet is constant, what does this indicate about the variation?

• It is an indirect variation

• It is a random variation

• It is a direct linear variation

• It is not a direct linear variation

How do you calculate the total price for multiple packets of pencils?

• Add the number of packets to the price per packet

• Multiply the number of packets by the price per packet

• Divide the number of packets by the price per packet

• Subtract the price per packet from the number of packets