Exploring Proportional and Nonproportional Relationships

What is a proportional relationship?

• Quantities with varying ratios

• Quantities with a constant ratio or unit rate

• Quantities that are always equal

• Quantities that cannot be compared

What is a non-proportional relationship?

• Quantities that cannot be compared

• Quantities with a constant ratio

• Quantities with a varying ratio

• Quantities that are always equal

How do you determine if a table of values is proportional?

• By finding the unit rate for each column and comparing them

• By subtracting the values in each column

• By adding the values in each column

• By multiplying the values in each column

In Example 1, what is the unit rate for reading 50 pages in 2 hours?

• 20 pages per hour

• 25 pages per hour

• 30 pages per hour

• 15 pages per hour

What is the cost to play laser tag for 1 hour including the entry fee?

• $20

• $15

• $10

• $25

What is the total cost to play laser tag for 2 hours including the entry fee?

• $30

• $25

• $15

• $20

What is the unit rate for playing laser tag for 3 hours?

• $10 per hour

• $11.67 per hour

• $12.50 per hour

• $15 per hour

Why is the total cost of playing laser tag not proportional to the number of hours played?

• Because the entry fee is too high

• Because the hourly rate changes with the number of hours

• Because the cost per hour is constant

• Because the number of hours is not fixed

What is the main factor that affects the proportionality in the laser tag example?

• The total cost

• The entry fee

• The number of hours played

• The hourly rate

What should you do to determine if a relationship is proportional?

• Subtract the smallest value from the largest

• Multiply all the values together

• Add all the values together

• Find the unit rate and compare it across different values