Step 1: Graph the points. You can extend the graph if needed.

28

Transcript of Step 1: Graph the points. You can extend the graph if needed.

Page 1: Step 1: Graph the points. You can extend the graph if needed.
Page 2: Step 1: Graph the points. You can extend the graph if needed.

Step 1: Graph the points. You can extend the graph if needed.

Page 3: Step 1: Graph the points. You can extend the graph if needed.

When looking at the linear equation(the line), if it passes through the origin and makes a straight line. It is a proportional graph. Also called a direct variation

Therefore, the answer to number 2 is yes.

Page 4: Step 1: Graph the points. You can extend the graph if needed.

Look at your formula chart. Find the Constant of proportionality equation.

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12

3

8

2

4

1

The Constant of Proportionality must be written in reduced form. So the answer is ¼.

Page 6: Step 1: Graph the points. You can extend the graph if needed.

Similar Figures • Have corresponding angles that are congruent.• Have corresponding sides that are proportional.

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Therefore, set up a proportion.

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Check that the numbers for a proportion.

X 2

X 2

X 15/10

Since the ratios of the corresponding sides are not equal, this is NOT a proportion.

THE ANSWER IS NO!

Page 9: Step 1: Graph the points. You can extend the graph if needed.

Once again, set up a proportion to solve for x.

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Cross Multiply to solve for x.

28x = (12)(14)

28x = 168

28x = 16828 28

1 x = 168 28

x = 6

Method 1

14

6

2

2

28

12

Method 2

Page 11: Step 1: Graph the points. You can extend the graph if needed.

Once again, set up a proportion to solve for d.

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Once again, set up a proportion to solve for d.

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Method 1

73

339

d 2137

933

x

x

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Similar Figures • Have corresponding angles that are congruent.• Have corresponding sides that are proportional.

Page 15: Step 1: Graph the points. You can extend the graph if needed.

Since similar figures• Have corresponding angles that are congruent.

The answer is 30 degrees.

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Follow the formula. It was given to you.

28

14Reduce or Divide.

2

1

Note: you must use corresponding side lengths

Page 17: Step 1: Graph the points. You can extend the graph if needed.

Once again, set up a proportion to solve for x.

510

4 x

sidelongest

sideshortest

÷2

÷2 X =2

Page 18: Step 1: Graph the points. You can extend the graph if needed.

Once again, set up a proportion to solve for number of songs.

hours

x

time

Songs

2.min30

10

.min120.min30

10 x

time

Songs

X 4

X 4

X =40

Page 19: Step 1: Graph the points. You can extend the graph if needed.
Page 20: Step 1: Graph the points. You can extend the graph if needed.
Page 21: Step 1: Graph the points. You can extend the graph if needed.

Once again, set up a proportion to solve for the new cost.

Page 22: Step 1: Graph the points. You can extend the graph if needed.

Cross Multiply to solve for x.

100x = (80)(70)

100x = 5600

100x = 5600100 100

1 x = 5600 100

x = 56

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THE ANSWER IS 9 FOR $15.30

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Different Signs …. SubtractTake the sign of the largest absolute value.

-37 19

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I = ( $30)(5%)(1)I = ($30)(.05)(1)I = (1.50) (1)I = ($1.50)

+ 1.5030

$31.50

Page 26: Step 1: Graph the points. You can extend the graph if needed.

9

811.1628 116.28

36 in = 3 ft

7ft x 3ft21 ft squared

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-4 82

70

7000

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164

14

0.15 =15%

Similar Figures • Have corresponding angles that are congruent.• Have corresponding sides that are proportional.