**Constant Of Proportionality Table Worksheet Answer Key** – 36 Is the relationship shown in the table symmetrical? Yes No Year 1 2 4 5 Income $22,000 $44,000 $88,000 $110,000 Answer: Yes

37 Is the relationship shown in the table symmetrical? Yes No x 2 5 6 9 y 7 17.5 21 34.5 Answer: No

## Constant Of Proportionality Table Worksheet Answer Key

38 Is the relationship shown in the table symmetrical? Yes No x 1 2 6 9 y 5 11 31 46 Answer: No

## Unit 3: Proportional And Nonproportional Relationships

39 Is the relationship shown in the table symmetrical? Yes No x 1 2 4 7 y 8 16 35 Answer: No

40 Is the relationship shown in the table symmetrical? Yes No x 2 4 6 8 y -3 -10 -15 -20 Answer: No

We use the letter k to denote a proportionality constant. Equations: y = kx or k = y x

Simplify one of the ratios in a table. Hats 1 2 3 4 5 Students 12 24 36 48 60

### Get Ready For Linear Relationships

46 Find the constant of proportionality. X Y 2 1.5 5 3.75 10 7.5 12 9 Answer: k = 0.75

47 Find the constant of proportionality. X Y 2 2.5 3 3.75 4 5 9 11.25 Answer: k = 1.25

48 Find the constant of proportionality. X Y 50 3 75 4.5 100 6 140 8.4 Answer: k = 3/50

52 Find the constant of proportionality. 4 8 12 16 20 24 28 32 36 40 Answer: k = 8

### Proportional Vs. Non Proportional

53 Find the constant of proportionality. 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 Answer: k = 1/3

27 Scale drawings are used to represent objects that are too large or too small for a full-size drawing to be useful. Examples: A life size picture of an ant or an atom would be too small to be useful. A life size picture of the state of New Jersey or the solar system would be too large to be useful.

Scale is a relationship: real life drawing (real) When solving a problem with scale drawings, you should: Write the scale as a proportion. Write the second ratio, putting the given information in the correct place (draw a picture above and the real life side. below) Solve the ratio

29 Example: This drawing has a scale of “1:10”, so anything drawn with a size of “1” would be a size of “10” in the real world, so a measurement of 150mm in the drawing will be 1500mm. on a real horse.

### Graphs Of Proportional Relationships

30 Example: The distance between Philadelphia and San Francisco is 2,950 kilometers. You look at a map and see that the scale is 1 inch: 100 kilometers. What is the distance between the two cities on the map? actual drawing Enter the scale as a ratio _ x 100x = 2950 x = 29.5 29.5 inches on the map = =

31 Try this: On a map, the distance between your city and Washington DC is 3.6 inches. The scale is 1 inch: 55 mils. What is the distance between the two cities? Answer: 198 kilometers

32 74 On a map with a scale of 1 inch = 100 kilometres, the distance between two cities is 7.55 inches. If a car travels 55 miles an hour, how long will it take to get from one city to another? 13 hours 45 minutes. B 14 hours 30 minutes. Answer: A C 12 hours D 12 hours 45 minutes.

33 75 On a map, the scale is 1/2 inch = 300 miles. Find on the map the actual distance between two stores that are 5 1/2 inches apart. A 3,000 miles B 2,727 kilometers C 3,300 kilometers Answer: C D 1,650 kilometers

### Algebra Zapping Zombies

34 Figure 76 is a scale of the east side of a house. In the picture, the side of each square is 4 feet. Find the width and height of the door. A 4 ft 9 ft B 4 ft 12 ft Answer: D C 4 ft 8 ft D 4 ft x 10 ft

35 77 The distance between Moorestown, NJ and Duck, NC is 910 miles. What is the scale from 1 inch to 110 kilometers on a map? Answer: 8.3 inches

36 78 The distance between Philadelphia and Las Vegas is 8.5 inches on a map with a scale of 1.5 inches: 500 miles. What is the distance in kilometers? Answer: 2,833.3 inches

37 79 You are building a room 4.6 m long and 3.3 m wide. The scale of the architect’s drawing is 1 cm : 2.5 m. What is the length of the room in the picture? Answer: 1.32 cm

### Making Math Moments Matter With The Concreteness Fading Model

38 80 You are building a room 4.6 m long and 3.3 m wide. The scale of the architect’s drawing is 1 cm : 2.5 m. What is the width of the room in the picture? Answer: 1.84 cm

39 81 Find the length of a wall 72 inches wide on a drawing to a scale of 1 inch: 2 feet. Answer: 144 feet

40 82 You recently bought a model car. Scale is 15 cm: 10 m. What is the length of a model car if the real car is 4 m? Answer: 6 cm

41 83 You bought a model car recently. Scale is 15 cm: 10 m. The length of the model’s steering wheel is 1.25 cm. What is the actual length of the steering wheel? Answer: 0.83 m

#### How To Find The Constant Of Proportionality

Check that corresponding angles are congruent Check that corresponding sides are proportional (Cross products are equal)

Example: Are a pair of polygons equal? Explain your answer. _ 4(4.5) = 6(3) 18 = 18 YES 4 yd 3 yd 4.5 yd 6 yd 4 _6_ 4(4.5) = 6(3) 18 = 18 YES = = OR

Example: Are a pair of polygons equal? Explain your answer. _ 5 (13) = 10 (8) 65 = 80 NOT 5 m 8 m 10 m 13 m = _ _ 5 (13) = 8 (10) 65 = 80 NOT = OR

47 84 Are the polygons equal? You must be able to justify your answer. (The shapes are not drawn to scale.) Yes No Answer: No 15 feet 9 feet 12 feet 21 feet

### Constant Of Proportionality

48 85 Are the polygons equal? You must be able to justify your answer. (The shapes are not drawn to scale.) Yes 10 m No 2.5 m Answer: Yes 2 m 8 m

49 86 Are the polygons equal? You must be able to justify your answer. (The shapes are not drawn to scale.) Yes 15 m No 37.5 m 6 m Answer: Yes 15 m

Example: Find the value of x in a pair of similar polygons. x 15(10) = 6x 150 = 6x 25 cm = x x 10 cm 15 cm 6 cm 8 cm Answer: x 15(10) = 6x 150 = 6x 25 cm = x = = OR

Try this: Find the value of y for a pair of similar polygons. the 15 in 5 in 7.5 in Answer: 10 inches

### Patton Junior High School

52 87 Find the measure of the missing value in the pair of similar polygons. (The shapes are not drawn to scale.) 80 80 Answer: 110° y 110 110

53 88 Find the measure of the missing value in the pair of similar polygons. (The shapes are not drawn to scale.) 17.5 ft Answer: 12.6 ft 25 ft 25 ft w 18 ft

54 89 Find the measure of the missing value in the pair of similar polygons. (The shapes are not drawn to scale.) x 4 m Answer: 16 m 4.25 m 17 m

55 90 Find the measure of the missing value in the pair of similar polygons. (The shapes are not drawn to scale.) y 6 mm Answer: 21 mm 11 mm 38.5 mm

### Constant Of Proportionality With Example

56 91 Find the measure of the missing value in the pair of similar polygons. (Shapes not drawn to scale.) 7 m ? 13 m 30 m Answer: 3 m 70 m

57 92 Find the measure of the missing value in the pair of similar polygons. (The shapes are not drawn to scale.) 81 m 429 m 63 m 231 m ? Answer: 117 m 297 m

58 93 Find the measure of the missing value in the pair of similar polygons. (The shapes are not drawn to scale.) 2 mm x Answer: 11 mm 5 mm 27.5 mm

In order to operate this website, we record user data and share it with processors. To use this website, you must accept our Privacy Policy, including our cookies policy. These lessons, with videos, examples, and answers, help 7th grade students learn to recognize and express proportional relationships between quantities.

## Math 7 With Mrs. Vandyke: September 2019

B. Identify the constant of proportionality (unit rates) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

The following diagram shows what is meant by the constant of proportionality. Scroll down the page for more examples and solutions for determining the constant of proportionality.

This video contains an assignment where students are asked to find a constant of proportionality and use it as a unit rate to find the solution. This task aligns with CCSS Math 7.RP.2b: Identify the constant of proportionality (unit rate) in tables, graphs, equations,

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