Graphs of Proportions doned PDF

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Name: _________________________________ Period: 8 _________ Date Due: ____________ Gavin Finan

Worksheet 22-- 2 “To be or not to be proportio proportional” nal”

P r o po r tio n al & n o n - P r o po r tio n al r e latio n ships

Interme diate 1 Un i t 2

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?

$10 dollars per hour 2] Is Dylan’s wage for 25 hours proportional to Amber’s wage for 42 hours? Why or why not?

no becausedylons is not proportional To determine proportionality between two ratios or rates,

One way to see if two ratios are proportional is to write them __________________________________________________

Conclusion:

__________________________________________________. as fractions and then reduce them. 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:

NUMBER OF HOURS

TOTAL COST ($)

1

$75

2

3]

y x

NUMBER OF HOURS

TOTAL COST ($)

1/75

1

$45

$120

2/120

2

$90

3

$165

3/65

3

$135

4

$210

4

$180

5

$255

5

$225

RATIO:

RATIO:

y x

1 /45

Which table shows a proportional relationship?

table 2 4]

What makes it a proportional relationship?

if th eline is over th eorgina thant th egraph is proportiona Conclusion:

To determine proportionality from a table, ____________________________________________________.

Below are the graphs for the tables in the previous section. Use the graphs to determine proportionality. Table 1:

Table 2:

270

270

240

240

210

210

180

180

Total Cost ($)

300

Total Cost ($)

300

150 120

150 120

90

90

60

60

30

30

0

2

4

6

8

10

12

14

0

2

4

Number of Hours

6

8

10

12

14

Number of Hours

5]

Which graph shows a proportional relationship?

6]

What makes it a proportional relationship? If the relation is proportional, the graph will form a straight line that passes througah the origin

To determine proportionality from a graph, if th eline is over th eorgina thant th egraph is proportional ________________________________________________________

Conclusion:

_______________________________________________________ _______________________________________________________. Determine which of the following tables represent proportional relationships. 1)

x

y

x

y

x

y

1

−3

−4

−8

−1

2

−6

−2

−4

3

−9

0

4

−12

5

−15

8)

x

y

−6

−1

−1.5

0

−5

1

1.5

0

1

−3

3

4.5

2

4

2

0

5

7.5

4

8

3

4

7

10.5

9)

10)

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

11.

12.

Proportional

non-proportional

14.

13.

Proportional

non-proportional

Proportional

non-proportional

16.

15.

• • •

Proportional

non-proportional

Proportional

non-proportional

Proportional

non-proportional

17. Is the following relationship proportional? Explain.

y x

Number of Movie Tickets (x)

Total Cost of Tickets (y)

1

-6

1/-6

2

-12

2/-12

3

-18

3/-18

4

-24

4/-24

18. How is a proportional relationship different from a non-proportional relationship? If the relation is proportional, the graph will form a straight line that passes through the origin if not than it isnt...