Cost and Rate Calculations

Mr. Wooley introduces middle school students to proportional relationships and how to represent them with equations. The lesson covers the concept of unit rate, constant proportionality, and how to derive equations like y = kx. Real-world problems, such as calculating gas mileage and comparing t-shirt costs, are used to illustrate these concepts. Students learn to use graphs to find proportional relationships and solve various practice problems to reinforce their understanding.

What is another term for the constant ratio in a proportional relationship?

• Dynamic ratio

• Variable constant

• Unit rate

• Variable rate

If a car can travel 28 miles per gallon, how far can it travel on half a gallon?

• 14 miles

• 56 miles

• 7 miles

• 28 miles

In the context of the portraits problem, what does the variable 'h' represent?

• Gallons

• Cost

• Hours

• Number of portraits

How many tennis balls are there per can if 9 tennis balls are stored in 3 cans?

• 1

• 2

• 3

• 4

What is the unit rate for laps per minute if Lee runs 10 laps in 25 minutes?

• 0.4 laps per minute

• 2.5 laps per minute

• 4 laps per minute

• 0.25 laps per minute

If tomatoes cost $2 per pound, what is the cost for 3 pounds?

• $2

• $6

• $5

• $3

What is the cost per package if it costs $15 to ship 3 packages?

• $7

• $10

• $5

• $3

What is the setup fee for Printarama?

• $10

• $25

• $15

• $30

Which company offers a better deal for 90 t-shirts?

• Neither

• Both are the same

• Value Tees

• Printarama

What is the constant rate per shirt for Value Tees?

• $5

• $6

• $8

• $7