Scaled Area
Proportional Representations
Proportional Relationships 1
Proportional Relationships 2
Misc
100
A triangle has an area of 12. A copy of this triangle is made with a scale factor of 2. Is the area of the new triangle 24? Explain.
It is not because of the formula SA = SF^2 x OA.
100
Is this table proportional?
No
100
What is the COP? Explain how you know.
It is 4 because in the table when x = 1, y = 4.
100
What is the COP for the equation y = 1.67x
k = 1.67
100
Convert 0.582 to a percent.
58.2%
200
The area of a rectangle is 4. A copy is made using a scale factor of 3. What is the area of the copy?
36
200
Is this graph proportional? Give 2 pieces of evidence to support your claim.
YES!
1) Straight line
2) Through the origin
Bonus point: What is the ordered pair for the origin?
200
In the context of the graph, what does the point A represent?
It says that 6 hours of electricity will cost $60.
200
What is the COP for this graph above? Explain the steps you took to find it.
The COP is 10. I took point A and calculated the unit rate by doing y/x = 60/6 = 10
200
Give ANY example of an ordered pair
(6,7)
300
A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 14 miles long. What is the area of the actual park, in square yards.
140 sq mi
300
Is this graph proportional? Give 2 pieces of evidence to support your claim.
NO
1) not a straight line
2) not through the origin
300
Write an equation to represent the proportional relationship from the table.
y = 2.5 x
300
Does the point (19, 47.5) also belong to this proportional relationship? Explain.
Yes because its unit rate is also 1:2.5.
300
Convert to an improper fraction:
8 1/3
400
A rectangle has an area of 28.7 square inches. After a scale factor of 1.2 is applied, what is the area of the new shape?
41.328 sq in
400
How do we prove this table is proportional?
Calculating the unit rates for ALL of the rows
400
Write an equation to represent this proportional relationship.
g = 1.25 t
400
A student graphs a line that passes through the point (2.5, 10) and the origin. Give 3 other points that would be on the line.
(1, 4)
(2, 8)
(3, 12)
400
Convert to an improper fraction:
25 3/4
103/4
500
28 sq cm
500
Does the following equation represent a proportional relationship? Why? If so, what is the COP? If not, how could we change it to represent a proportional relationship?
y = 4x- 1
It is not proportional because it is not of the form below. We could make it proportional by removing the -1.
y=kx
500
What is the value of y in the point (1, y)? Explain what this coordinate point represents in the context of the situation.
y = 0.4
It means that each day, 0.4lbs of dog food are eaten.
500
How far did the jaguar run per second? Where would we see this on the graph?
The jaguar runs 58 feet per second. We see this at the point (1,58).
500
Calculate. Leave your answer as an improper fraction.
4 3/4 \div 1 1/4
/5