Scale Drawings and Area
Constant of Proportionality
Write Equations
Interpret Graphs
100
The scale on a drawing is given as 1/2 in: 6 ft. A distance on the drawing measure 1 1/2 in. What is the actual distance?
The actual distance is 18 ft.
100
What is the constant of proportionality?
10
100
Does the equation y = 4x match this situation? Explain.
No, y = 4x does not match this table. The constant of proportionality is 10, not 4.
100
What does the point (0, 0) represent in this situation?
0 cookies can be made with 0 cups of flour.
200
A scale drawing has a scale of 2 cm: 15 m. If the length of something on the drawing is 12 cm, what is the actual length?
The actual length is 90 m.
200
What is the constant of proportionality? Write a sentence answer.
Every game costs $10.
200
Write an equation to represent the relationship in this table.
y = 12x
200
The graph above represents how many laps Luke can run in minutes. What does the ordered pair (2, 4) represent in the situation?
Luke can run 4 laps in 2 minutes.
300
The scale on a blueprint of a home is 1 in: 4ft. The actual length of the family room is 26 feet. What is the length of the family room on the blueprint?
The length of the family room on the blueprint is 6 1/2 in.
300
What is the constant of proportionality? Explain the meaning in a sentence.
The constant of proportionality is $75. Each adult ticket costs $75.
300
Write an equation to represent this situation.
y = 2x
300
Which point represents the constant of proportionality?
(1, 5)
400
A blueprint of a house has a scale of 1 in: 6ft. The living room has dimensions of 3 in by 4 in on the scale drawing. What is the actual area of the living room?
(Hint: find the actual length and width first.)
The actual area of the living is 432 square feet.
400
What is the constant of proportionality? Explain the meaning in a complete sentence.
For every cup of flour, 1/2 a loaf of bread can be made.
400
Write an equation to represent the situation.
y = 5x
400
If Jerry worked 40 hours last week, how many windows did he paint (decorate) in total?
After working 40 hours last week, Jerry painted 120 windows.
500
The drawing above has a scale of 1 cm: 5 m. Find the actual area of the figure.
The actual area of the figure is 1,050 square meters.
500
What is the constant of proportionality? Explain it's meaning in a sentence. (Hint: the answer is a fraction)
The constant of proportionality is 2/3. 2/3 of a lap are completed per minute.
500
Peaches are $2.19 per pound. Write an equation to represent this situation.
y = 2.19x
500
What is the cost of 100 cookies?
100 cookies would cost $50.