Understanding Direct Variation and Proportions

The video tutorial introduces solving problems using proportions and direct variation. It presents a word problem where Drew is paid hourly, and the task is to find how much he will earn for a 7-hour shift. The tutorial explains how to identify independent and dependent variables, solve for the constant K, and write the direct variation equation. Finally, it demonstrates using the equation to calculate Drew's pay for different hours worked.

What is the main topic discussed in the video?

• Solving quadratic equations

• Exploring algebraic expressions

• Understanding direct variation and proportions

• Learning about geometric shapes

In the word problem, what is Drew's hourly wage for a 5-hour shift?

• $5

• $25

• $50

• $10

What does the variable K represent in the direct variation formula?

• The slope of a line

• The y-intercept

• The constant of variation

• The dependent variable

Which variable is considered the independent variable in the problem?

• The direct variation formula

• The amount of money paid

• The number of hours worked

• The constant K

How do you solve for the constant K in the equation?

• Multiply both sides by the dependent variable

• Add the independent variable to both sides

• Subtract the dependent variable from both sides

• Divide both sides by the independent variable

What is the value of K in the problem?

• 50

• 7

• 5

• 10

What is the direct variation equation derived from the problem?

• y = 7x

• y = 10x

• y = 5x

• y = 50x

How much will Drew earn for a 7-hour shift according to the equation?

• $100

• $50

• $35

• $70

What is the dependent variable in the context of the problem?

• The constant K

• The direct variation formula

• The amount of money paid

• The number of hours worked

What is the final answer to the problem regarding Drew's earnings for a 7-hour shift?

• $50

• $70

• $35

• $100