Exploring Constant Equations and Proportional Relationships

What does a constant equation typically represent?

• A fixed value that never changes

• The sum of two variables

• A proportional relationship between two variables

• A variable's rate of change over time

What is the independent variable in the context of driving a car?

• The amount of fuel

• The time spent driving

• The speed of the car

• The distance driven

How is the constant 'K' calculated in the context of miles per gallon?

• Gallons divided by miles

• Gallons multiplied by miles

• Miles plus gallons

• Miles divided by gallons

What does the 'per' in 'miles per gallon' indicate?

• Subtraction

• Division

• Addition

• Multiplication

How do you find the cost for 15 airline tickets if one ticket costs $129?

• $129 divided by 15

• $129 plus 15

• $129 times 15

• $129 minus 15

If you have $750, how many $129 tickets can you buy?

• 5.8 tickets

• 5 tickets

• 6 tickets

• 4 tickets

What does a constant of proportionality in a graph indicate?

• A straight line that passes through the origin

• A line that does not pass through the origin

• A curved line

• A horizontal line

How much does Kaz earn per hour?

• $10

• $12.50

• $15

• $20

How long does it take Maggie to earn $37.50 if her rate is $12.50 per hour?

• 3 hours

• 5 hours

• 2 hours

• 4 hours

Are the pay rates for Kaz and Maggie examples of constants of proportionality?

• Only Kaz's pay rate

• Only Maggie's pay rate

• Both Kaz's and Maggie's pay rates

• Neither Kaz's nor Maggie's pay rates