Topic B Extra Practice 2017.pdf

Ex) _{Concrete Blocks (x) 3 8 10 6 7} weight in kilograms (y) 30 80 100 60 70

Every concrete block weighs 10 kilograms.

1) _{Cans of Paint (x) 5 10 6 9 2}

Bird Houses Painted (y) 15 30 18 27 6

For every can of paint you could paint 3 bird houses.

2) _{Votes for Faye (x) 9 7 6 8 3}

Votes for Victor (y) 342 266 228 304 114 For Every vote for Faye there were 38 votes for Victor.

3) _{Chocolate Bars (x) 6 4 10 3 8}

Calories (y) 1,212 808 2,020 606 1,616 Every chocolate bar has 202 calories.

4) _{Pieces of Chicken (x) 7 8 6 10 2}

Price in dollars (y) 14 16 12 20 4

For each piece of chicken it costs 2 dollars.

5) _{Boxes of Candy (x) 2 5 9 7 10}

Pieces of Candy (y) 32 80 144 112 160 For every box of candy you get 16 pieces.

6) _{Lawns Mowed (x) 7 6 10 3 4}

Dollars Earned (y) 301 258 430 129 172 For every lawn mowed 43 dollars were earned.

7) _{Time in minute (x) 9 2 7 3 10}

Distance traveled in meters (y) 117 26 91 39 130 Every minute 13 meters are travelled.

8) _{Pounds of Beef Jerky (x) 7 8 5 6 10}

Price in dollars (y) 84 96 60 72 120

For every pound of beef jerky it cost 12 dollars.

Ex.

y = 10x

1.

y = 3x

y = 38x

y = 202x

y = 2x

y = 16x

y = 43x

y = 13x

y = 12x

Identifying Constant of Proportionality (Tables)

1-8 88 75 63 50 38 25 13 0

Ex) _{Phone Sold (x) 9 4 6 5 3}

Money Earned (y) 369 164 246 205

y/x = 41 , 3 x 41 = 123

1) _{Pieces of Chicken (x) 5 9 4 10 8}

Price in dollars (y) 5 9 4 10

y/x =

2) _{Enemies Destroyed (x) 9 5 6 4 7}

Points Earned (y) 297 165 198 132

y/x =

3) _{Time in minute (x) 2 6 8 10 9}

Distance traveled in meters (y) 34 102 136 170

y/x =

4) _{Tickets Sold (x) 8 3 6 2 10}

Money Earned (y) 112 42 84 28

y/x =

5) _{Votes for Bianca (x) 9 10 4 5 3}

Votes for Luke (y) 198 220 88 110

y/x =

6) _{Glasses of Lemonade (x) 4 10 9 3 6}

Lemons Used (y) 12 30 27 9

y/x =

7) _{Chocolate Bars (x) 7 4 5 3 10}

Calories (y) 1,869 1,068 1,335 801

y/x =

8) _{Boxes of Candy (x) 8 3 2 6 10}

Pieces of Candy (y) 120 45 30 90

y/x =

Find the constant of proportionality for each table.Then use it to find the missing quantity.

Identifying Constant of Proportionality (Tables)

Math

Name:

A n s w e r s

Ex.

y =

123

1.

y = 1x

2.

y =

33x

y =

17x

y =

14x

y =

22x

y =

3x

y =

267x

y =

15x

1)

Pieces of Chicken

Price

A

(1 , 1.25)

Every piece of chicken costs

$1.25.

2)

Sodas Drank

Calories Consumed

A

(1 , 100)

For every soda drank 100 calories

are consumed.

3)

Minutes Pages Printed A(1 , 100)

Every minute 100 pages are

printed.

4)

Hours

Distance (miles)

A

(1 , 60)

Every hour 60 miles are travelled.

5)

Pounds of Meat Price A_{(1 , 3.79)}

Every pound of meat costs $3.79.

6)

Glasses of Lemonade

Lemons Used

A (1 , 8)

Every glass of lemonade requires

8 lemons.

Determine what the value of A means in each problem.

1-8 88 75 63 50 38 25 13 0 1) 0 9 18 27 36 45

0 3 6 9 12 15

2) 0 30 60 90 120

0 6 12 18 24

3) 0 25 50 75 100 125

0 5 10 15 20 25

4) 0 6 12 18 24 30

0 1 2 3 4 5

5) 0 8 16 24 32 40

0 2 4 6 8 10

6) 0 21 42 63 84 105

0 7 14 21 28 35

7) 0 90 180 270 360

0 10 20 30 40

8) 0 16 32 48 64

0 8 16 24 32

1.

y = 3x

y = 5x

y = 5x

y = 6x

y = 4x

y = 3x

y = 9x

y = 2x

Identify the constant of proportionality. Write your answer as y = kx

Identifying Constant of Proportionality (Graphs)

Math

Name:

A n s w e r s

Name: ______________________ Block: ___________ Date:_______

Exit Ticket:

1) Coffee sells for $2.00/pound

a) What is the constant of proportionality?

b) Write an equation to represent the relationship.

c) Use the equation, to determine how much 8.5 pounds of coffee sells for.

d) If I know the ______________ , I can find the constant of proportionality.

e) If I know the ___________________, I can write an equation.

2) Suzanne bought 4 shirts for $20.00

a) What is the constant of proportionality?

b) Write an equation to represent the relationship.

c) Use the equation, to determine how many shirts Suzanne could buy for $30.00

f) If I can find the ______________ , I can find the constant of proportionality.

g) Using the ___________________, I can find other equivalent quantities in a proportional relationship.

Name: _________________________________ Period: _________ Date Due: ____________

Proportional & non- Proportional relationships

Worksheet 2-2

“To be or not to be proportional”

Dylan makes $336 for 32 hours of work, and Angela makes $420 for 42 hours of work. 1] How much do Dylan and Angela each make per hour?

2] Is Dylan’s wage for 25 hours proportional to Amber’s wage for 42 hours? Why or why not?

To determine proportionality between two ratios or rates, Conclusion: __________________________________________________

__________________________________________________. Find the ratio of y to x for Table 1 and Table 2, simplify the fraction to simplest form, and answer the questions that follow.

Table 1: Table 2:

3] Which table shows a proportional relationship? 4] What makes it a proportional relationship?

Conclusion: To determine proportionality from a table,

____________________________________________________. NUMBER

OF HOURS

TOTAL

COST ($) RATIO:

y x

1 $75

2 $120

3 $165

4 $210

5 $255

NUMBER OF HOURS

TOTAL

COST ($) RATIO:

y x

1 $45

2 $90

3 $135

4 $180

Below are the graphs for the tables in the previous section. Use the graphs to determine proportionality.

Table 1: Table 2:

5] Which graph shows a proportional relationship? 6] What makes it a proportional relationship?

To determine proportionality from a graph,

Conclusion: ________________________________________________________ _______________________________________________________ _______________________________________________________. Determine which of the following tables represent proportional relationships.

1) 8) 9) 10)

Number of Hours

To ta l C os t ($ )

0 2 4 6 8 10 12 14

300 270 240 210 180 150 120 90 60 30

Number of Hours

To ta l C os t ($ )

0 2 4 6 8 10 12 14

300 270 240 210 180 150 120 90 60 30

x y

1 2 3 4

x y

0 0

2 4

4 8

x y

0 1

2 0

3 4

x y

1 1.5

3 4.5

5 7.5

3 6 9

12 8 16

5 3

Determine which of the following graphs represent proportional relationships. Circle the appropriate response.

11.

12.

13.

14.

15.

16.

17. Is the following relationship proportional? Explain. Number of

Movie Tickets (x)

Total Cost of

Tickets (y)

_x

y

1 6

2 12

3 18

4 24

18. How is a proportional relationship different from a non-proportional relationship?

Proportional non-proportional Proportional non-proportional Proportional non-proportional

Proportional non-proportional Proportional non-proportional Proportional non-proportional

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