Understanding Proportional Relationships

What is a key feature of a proportional relationship on a coordinate plane?

• A line that changes direction

• A straight line that does not pass through the origin

• A curved line through the origin

• A straight line through the origin

In the time and cost example, why is the relationship non-proportional?

• The cost decreases over time

• The line is not straight

• The time is not on the x-axis

• The line does not pass through the origin

What does the point (1, 10) represent in the time and cost example?

• 1 unit costs 10 hours

• 10 hours cost 1 unit

• 10 units cost 1 hour

• 1 hour costs 10 units

In the gas usage example, what indicates that the relationship is proportional?

• The line is curved

• The line is vertical

• The line is horizontal

• The line passes through the origin

What does the point (2, 50) represent in the gas usage example?

• 50 gallons for 2 miles

• 2 miles for 50 gallons

• 50 miles for 2 gallons

• 2 gallons for 50 miles

How is the constant of proportionality calculated?

• By adding the change in y and the change in x

• By dividing the change in y by the change in x

• By multiplying the change in y by the change in x

• By dividing the change in x by the change in y

What is the unit rate in the fathom and feet example?

• 4 feet per fathom

• 10 feet per fathom

• 6 feet per fathom

• 8 feet per fathom

What does the point (0, 0) signify in the context of the graph?

• Zero feet in zero fathoms

• Zero fathoms in one foot

• Zero fathoms in zero feet

• Zero feet in one fathom

What does the point (4, 24) indicate on the graph?

• 4 feet in 24 fathoms

• 4 fathoms in 24 feet

• 24 fathoms in 4 feet

• 24 feet in 4 fathoms

What is the significance of the point (8, 48) on the graph?

• 8 feet in 48 fathoms

• 48 feet in 8 fathoms

• 48 fathoms in 8 feet

• 8 fathoms in 48 feet