Finding and Using Unit Rate Effectively

The video tutorial covers the calculation of unit rates and equivalent ratios to solve a problem involving Hank, who paints hotel rooms. It is divided into four parts: calculating the time to paint six rooms, determining the unit rate for one room, writing an equation for any number of rooms, and finding the total number of rooms painted in 1200 hours. The tutorial uses proportions, cross-product properties, and algebraic equations to teach these concepts.

How many rooms does Hank paint in 7.5 hours?

• 6 rooms

• 3 rooms

• 9 rooms

• 12 rooms

Tags

CCSS.6.RP.A.3B

If Hank paints 3 rooms in 7.5 hours, how long will it take him to paint 6 rooms?

• 7.5 hours

• 15 hours

• 10.5 hours

• 12 hours

Tags

CCSS.6.NS.B.3

What mathematical operation is used to find the time for Hank to paint 6 rooms?

• Subtraction

• Addition

• Division

• Multiplication

Tags

CCSS.3.OA.A.3

What is the unit rate of Hank's painting in terms of hours per room?

• 1.5 hours/room

• 2.5 hours/room

• 2 hours/room

• 3 hours/room

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

What is the relationship between the number of rooms and the time taken, according to the unit rate?

• Logarithmic

• Exponential

• Inversely proportional

• Directly proportional

Using the unit rate, how many hours would it take Hank to paint 2 rooms?

• 3 hours

• 4 hours

• 5 hours

• 6 hours

Tags

CCSS.6.RP.A.3B

How is the equation to calculate the time for any number of rooms derived?

• Using statistics

• Using calculus

• Using algebraic manipulation

• Using proportions

Tags

CCSS.7.EE.B.3

What is the purpose of setting up an equation for Hank's painting task?

• To introduce new painting techniques

• To increase painting time

• To complicate the process

• To simplify calculations

How does the cross product property help in solving Hank's painting task?

• It changes the unit rate

• It increases the painting speed

• It checks the proportion's correctness

• It decreases the number of rooms

If Hank has 1200 hours to paint, how many rooms can he paint?

• 400 rooms

• 480 rooms

• 600 rooms

• 300 rooms

Tags

CCSS.5.NBT.B.6

CCSS.6.NS.B.2