Constant of Proportionality Review

Proportional Relationships Review

Multiple Choice

Which graph is proportional?

• A. The graph sloping down to the right is proportional.

• B. The line starting at 3 on the y-axis is proportional.

• C. The line that is straight and passes through the origin is proportional.

• D. The line passing through the origin curing upwards is proportional.

Multiple Choice

Which graph is NOT proportional the other shapes?

• A

• B

• C

• D

Open Ended

Is Asteroid x traveling faster or slower than Perseid 245? Explain how you know.

Open Ended

The constant of proportionality (k) in the table is:

Open Ended

The constant of proportionality (k) from the graph is:

Open Ended

The constant of proportionality (k) in the equation is:

     d = 23c  where d is the cost in dollars and c is the cubic yards

Open Ended

 A contractor must haul a large amount of dirt to a work site.  She collected information from three hauling companies.  EZ excavation gives its prices in a table.  Happy hauling gives its prices in a graph. Daryl’s dumping gives its prices in an equation. 

What does the constant (k) tell us about each company?

Multiple Choice

Which company is the least expensive (in dollars per cubic yard)?

• EZ Excavation

• Happy Hauling

• Daryl's Dumping

Open Ended

Complete the table on your study guide. Then write an equation to represent the relationship between the number of cars sold and bonus earned.

Multiple Choice

6.  Andre rode his bike at a constant speed. He rode 2 miles in 6 mins.  Which equation represents the amount of time t (in minutes) that it takes him to ride a distance of d miles?

• t = 3d

• t = 1/3d

• t = d + 4

• t = d - 4

Open Ended

What is the unit price at each fruit stand?

Open Ended

 How much money would you save on 5 pounds of blueberries at the less expensive fruit stand?

Open Ended

8.   Water runs from a hose into a bucket at a steady rate. The amount of water in the bucket for the time it is being filled is shown in the graph.  The water is running at a rate of 5 gallons every 12 mins shown by the point indicated on the graph.

Label the axes appropriately. (Do this on your paper ~ type the title for the x & y-axis here)

Multiple Choice

What does the point (12, 5) mean in this situation?

• 12 gallons of water in 5 mins

• 5 gallons of water in 12 mins

Open Ended

Write the equation that represents the relationship between the gallons of water running into the bucket and the time.  Be sure to explain the meaning of each variable.

Multiple Select

The graph shows the relationship between gallons of gas and the cost. Select all of the statements that are true.

• 1 gallon of gas costs $3

• 3 gallons of gas cost $1

• 5 gallons of gas would cost $15.

• The point (40, 120) would fall on this line if it were extended.