Cost and Proportionality Problems

Mr. Alex guides students through lesson eight, focusing on proportional relationships. The lesson covers writing equations to model these relationships, calculating constants of proportionality, and applying these concepts to real-world scenarios such as music purchases and t-shirt pricing. Students learn to compare different options to determine the most cost-effective choice.

What is the constant of proportionality when 9 tennis balls are stored in 3 cans?

• 1

• 2

• 4

• 3

If Lee runs 10 laps in 25 minutes, how many laps does she run per minute?

• 0.5

• 0.4

• 0.7

• 0.6

What is the constant of proportionality for the cost of tomatoes at $2 per pound?

• 3

• 2

• 1

• 4

How much does it cost to send one package if 3 packages cost $15?

• $3

• $4

• $5

• $6

What is the cost per song if Susan pays $58 for 60 songs?

• $0.97

• $0.95

• $0.90

• $1.00

Which pricing model is cheaper for Susan if she buys 60 songs per month?

• Graph model at $0.90 per song

• Flat rate of $58

• Cannot be determined

• Both are the same

What is the constant rate per shirt for Value T's and More?

• $6

• $7

• $8

• $9

If Printarama charges $9.5 for 10 shirts, what is the cost per shirt?

• $9.5

• $8.5

• $10.5

• $7.5

Does Value T's and More have a constant rate for their shirts?

• No, it depends on quantity

• Yes, $9 per shirt

• No, it varies

• Yes, $8 per shirt

What is the setup fee for Printarama if the cost per shirt decreases with more shirts?

• $15

• Cannot be determined

• $20

• $10