Finding Scale Factor
Using Scale Factor
Finding the
Constant of Proportionality
Constant of Proportionality
Proportional Relationships
Writing
Equations
Equations
100
Use the drawing below to find the scale factor.
What is, 1/2?
100
Laurie will draw a scale model of the garden she wants to plant. Her scale will be 1cm=2.5ft. What are the actual dimensions of her garden?
What is, 10 ft by 21.5 ft?
100
A store sells a 1 1/4 pound package of turkey for $9. What is the unit price of the turkey in the package?
What is, $7.20?
100
This table shows how the cost of Paco's birthday party depends on the number of guests. 
Determine the cost of having 12 guests at the party.
What is, $60 per person?
100
Tell whether y is directly proportional to x or not based on the data in the table. If it is, what is the constant of proportionality?
What is, y=.07x?
200
If you have an original image and a scale drawing image, explain how you would find the scale factor.
What is, scale drawing length divided by original length?
200
Kenneth measured a hotel and made a scale drawing. The scale he used was 1 inch = 4 feet. The actual length of a room in the hotel is 20 feet. How long is the room in the drawing?
What is, 5 in?
200
George is building a fence. He builds his fence at a constant rate of 1/3 section of fence every 1/2 hour. At this rate, what fraction represents the section of fence George can build per hour? Express your answer as a fraction.
What is, 2/3?
200
The total distance Jim traveled on his bicycle during a 5 hour period is shown in the graph below. Is the total distance proportional to the time, explain why or why not?
What is, yes it is proportional because it is a straight line that goes through the origin?
200
A machine produces 480 gel pens per hour. Which equation represents the number of gel pens, p, produced in m minutes?
What is, p=8m?
300
The following is a scale drawing of an American football field. An actual field is 360 feet long and 60 feet wide. Does the scale drawing represent an enlargement or a reduction of an actual field?
What is, a reduction?
300
Danielle constructs a scale model of a building with a rectangular base. Her model is 2 inches in length and 1 inch in width. The scale on the model is 1 inch = 47 feet. What is the actual area, in square feet, of the base of the building?
What is, 4,418 ft2?
300
Dana walks 3/4 mile in 1/4 hour.
What is Dana's walking rate in miles per hour?
What is 3 mph?
300
The table shows the number of songs and the length of each music playlist on an MP3 player. Each song is the same length.
What is, 4 minutes?
300
The amount Troy charges to mow a lawn is proportional to the time it takes him to mow the lawn. Troy charges $30 to mow a lawn that took him 1.5 hours to mow. Write an equation to mode the amount in dollars, d, Troy charges when it takes him,h, hours to mow the lawn.
What is, d=20h?
400
Angelo drew the two rectangles shown. The second is a scale drawing of the first. What is the scale factor?
What is, 2.5?
400
Thomas Jefferson School is building a new basketball court as seen below in orange. The blueprint is missing a dimension. Use the scale factor to find the missing dimension. 
What is, 20?
400
A television commercial claims that 4 L of paint will cover 40m2. How much paint is required to cover 70m2?
What is, 7L?
400
Tell whether y is directly proportional to x or not based on the data in the table. If it is, what is the constant of proportionality?
What is, yes k=.07?
400
This table shows the relationship between x and y.
Which equation models this relationship?
What is, y=54.5x?
500
Part 1: What does the scale factor of a reduction look like?
Part 2: What does the scale factor an enlargement look like?
Part 1: What is, a fraction because when you multiply by a fraction you are finding a fraction of the original size.
Part 2: What is, a number greater than 1 because it is getting bigger.
500
Brett made a scale drawing of a rectangular room in his house. The actual length of the room is 12 4/5 ft. The scale used to make the drawing was 1/4 in. = 1 ft. What is the length, in inches, of the room on the drawing?
What is, 3.2 inches?
500
Ms. Graves gave her class 12 minutes to read. Carrie read 5 1/2 pages in that time. At what rate, in pages per hour, did Carrie read?
What is, what is 27 1/2 pages per hour?
500
The table shows examples of the weight of diamonds, in carats, compared to their total cost, in dollars. Is the relationship between cost, in dollars, and diamond weight, in carats, proportional?
What is, no?
500
An empty tank is filled with water at a constant rate. The table shows w, the number of gallons of water in the tank after m minutes. Which equation represents the relationship shown in the table?
What is, w=16.5m?