Finding the Constant of Proportionality
Writing an Equation in the form y=kx
Interpreting Proportional Graphs
Comparing Proportional Relationships
Random
100

What's the constant of proportionality?

k=5

100

Jude sends 45 E-mails in 15 minutes.

Write an equation to represent the relationship between emails y and minutes x

y=3x

100

What information is on the horizontal axis?

Time in hours

100

Store A sells 3 slices of pizza for $9. Store B sells 4 slices of pizza for $16. Which store has the better rate and what is it?

Store A. $3/slice

100

Who is this?

1,920 × 1,080

Justin Herbert, former Eugene 4J Spanish Immersion student

200

What is the constant of proportionality? Write your answer as a rate

$1.50 per ticket

k=1.50

200

Lenasia earned $640 in a 40-hour work week.

Write an equation to represent the relationship between total money (y) and hours (x)

y=16x

200

What information is on the vertical axis?

Number of wheels

200

Isaac and Neema are running a race. Isaac runs 5 meters per second. Neema runs 8 meters per second. If the race is 400 meters, who will finish first and what will their time be?

Neema with a time of 50 seconds

200

What is the official nickname of Eugene?

Track Town, USA


300

What's the constant of proportionality? Write your answer as a rate.

46 miles per hour

300

Write an equation in the form y=kx

y=15x

300

Does this graph represent a proportional relationship between cost and tickets? Explain.

No. There is not a constant multiplier between cost and tickets. The graph does not go through the origin.

300

The graphs shows the elevation of two different helicopters after a given number of seconds. Which helicopter is ascending more quickly? Explain. 

Helicopter A. After 6 seconds, Helicopter A is 15 meters high, but in the same amount of time, Helicopter B is only 8 meters high.
300

What is the name of the hill in this picture?


Spencer Butte in a photo taken from Skinner Butte

400

Don't forget to include units

5 gallons per minute

400

The table represents the relationship between slices of pizza and their total cost.

y=2.5x

400

What does this point represent?

35 gallons of water are used in 7 minutes

400

Blet Soe rides his bike 60 miles in 4 hours. Ruth's rate on her bike is expressed by the equation y=12.5x. How long would it take each person to ride 100 miles.

Blet Soe would take 6 hours and 40 minutes (6 2/3 hour). Ruth would take 8 hours.

400

What kind of tree is this?


Douglas Fir, State Tree of Oregon

500

What is the constant of proportionality. Give your answer as a rate.

2/3 lap per minute

500


y=1/5x

500

What is the cost per ticket?


$2/ticket

500

The table and graph show the fuel efficiency for two different cars. Which is more efficient and why?

Car A. It uses 25 miles per gallon whereas Car B uses 22 miles per gallon.

500

These musicians both went to South Eugene High School. Name one for full points, or name both for an extra 100.


Michelle Zauner/Japanese Breakfast or Mat Kearney