step 1: graph the points. you can extend the graph if needed
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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.
Look at your formula chart. Find the Constant of proportionality equation.
12
3
8
2
4
1
The Constant of Proportionality must be written in reduced form. So the answer is ¼.
Similar Figures • Have corresponding angles that are congruent.• Have corresponding sides that are proportional.
Therefore, set up a proportion.
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!
Once again, set up a proportion to solve for x.
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
Once again, set up a proportion to solve for d.
Once again, set up a proportion to solve for d.
Method 1
73
339
d 2137
933
x
x
Similar Figures • Have corresponding angles that are congruent.• Have corresponding sides that are proportional.
Since similar figures• Have corresponding angles that are congruent.
The answer is 30 degrees.
Follow the formula. It was given to you.
28
14Reduce or Divide.
2
1
Note: you must use corresponding side lengths
Once again, set up a proportion to solve for x.
510
4 x
sidelongest
sideshortest
÷2
÷2 X =2
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
Once again, set up a proportion to solve for the new cost.
Cross Multiply to solve for x.
100x = (80)(70)
100x = 5600
100x = 5600100 100
1 x = 5600 100
x = 56
THE ANSWER IS 9 FOR $15.30
Different Signs …. SubtractTake the sign of the largest absolute value.
-37 19
I = ( $30)(5%)(1)I = ($30)(.05)(1)I = (1.50) (1)I = ($1.50)
+ 1.5030
$31.50
9
811.1628 116.28
36 in = 3 ft
7ft x 3ft21 ft squared
-4 82
70
7000
164
14
0.15 =15%
Similar Figures • Have corresponding angles that are congruent.• Have corresponding sides that are proportional.