step 1: graph the points. you can extend the graph if needed
TRANSCRIPT
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Step 1: Graph the points. You can extend the graph if needed.
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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.
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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.
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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!
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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
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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.
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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
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Once again, set up a proportion to solve for x.
510
4 x
sidelongest
sideshortest
÷2
÷2 X =2
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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
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Once again, set up a proportion to solve for the new cost.
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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
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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.