Cost and Time in Proportional Relationships

The video tutorial covers lesson nine on representing proportional relationships with equations. It introduces the concepts of independent and dependent variables, explaining their roles in equations. The tutorial provides examples, such as Jackson's birdhouses and corn sales, to illustrate how to write and use equations to solve real-world problems. The focus is on understanding constant rates and how to apply them in different scenarios.

What is the independent variable in a proportional relationship?

• The variable that is always zero

• The variable that is always constant

• The variable that can be changed freely

• The variable that depends on another variable

In the birdhouse example, what does the constant rate represent?

• The number of birdhouses built per hour

• The total number of birdhouses

• The total time taken to build birdhouses

• The cost of building birdhouses

How many birdhouses can Jackson build in 40 hours?

• 35 birdhouses

• 40 birdhouses

• 56 birdhouses

• 70 birdhouses

If Jackson wants to build 35 birdhouses, how many hours will it take?

• 20 hours

• 35 hours

• 30 hours

• 25 hours

How long will it take Jackson to build 71 birdhouses?

• 50 hours and 42 minutes

• 65 hours

• 60 hours

• 55 hours

In the corn sale example, what is the dependent variable?

• The number of ears of corn

• The cost of the corn

• The time taken to sell corn

• The location of the sale

How many ears of corn does Owl's produce sell for $1.50?

• 8 ears

• 7 ears

• 6 ears

• 5 ears

What is the equation for Barba's produce stand?

• y = 3.12x

• y = 1.50x

• y = 0.24x

• y = 0.50x

If Barba's produce sells 13 ears of corn, what is the cost?

• $4.00

• $3.12

• $2.50

• $5.00

What is the key concept when comparing cost and ears of corn?

• Ears of corn is constant

• Cost is independent

• Ears of corn is dependent

• Cost is dependent