NAME DATE PERIOD Lesson 6 Reteach Solve Proportional Relationships A proportion is an equation that states that two ratios are equivalent. To determin...
Lesson 6 Solve Proportional Relationships Math WarmUps BAKING Rachel baked 3 cakes in 2 hours, 4 cakes in 3 hours, and 5 cakes in 4 hours
Course 2 • Chapter 1 Ratios and Proportional Reasoning ... Lesson 6 Extra Practice Solve Proportional Relationships Solve each proportion. 1. x 15 x= 4 5
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PERIOD
DATE
NAME
Lesson 6 Reteach Solve
Proportional Relationships
A proportion i s a n e q u a t i o n t h a t s t a t e s t h a t t w o r a t i o s a r e e q u i v a l e n t . T o d e t e r m i n e w h e t h e r a p a i r o f ratios f o r m s a proportion, u s e cross products. You c a n also u s e cross products t o solve proportions.
Example 1 Determine w h e t h e r the p a i r of ratios — a n d — form a proportion. 24 18 F i n d t h e cross products. 24 . 1 2 = 288 20 . 1 8 = 360 Since t h e cross p r o d u c t s a r e n o t equal, t h e ratios d o n o t f o r m a proportion.
Example 2 k
12
70'
k 12 30 70 • 7 0 -30 .
Write the equation. Fmd the cross products.
8 4 0 = SOk 840 30k 30 30
Multiply. Divide each side by 3 0 .
28 = k
Simplify.
T h e solution is 28.
Exercises Determine w h e t h e r e a c h p a i r of ratios forms a proportion. 1.
I I 12 10' 5
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2.1
4.
7 13 15' 32
Aid
5
4 12
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8. 2 0 3 0 35' 45
2
7
r 71
a
12 9' 18
3. _ 8 _ 1 0 12' 15
1
6.
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8 12 24' 28
9. 1 8
24' 4
E
3 if
Solve e a c h proportion.
i
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I I
12.
^ 1
.3.
16.
24
=
f =
14.48 = VL.
15 2.8 7
-J
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7
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Course 2 • Chapter l R a t i o s a n d P r o p o r t i o n a l R e a s o n i n g
1 = 1r 0
15^ 1 4 ^ 1 0 -^2
-t
a: 18
)0 36
/o
NAME
V
DATE
PERIOD
Lesson 6 Extra Practice Solve
Proportional Relationships
Solve each proportion. 3
4
^ ^
w
^- p y t - z -
5=15 t 0.3
^•5
/
3
- i t
„ 36 a 8.
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6-4
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3
- 4
4
12
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3
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6?
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u
Course 2 • Chapter 1 R a t i o s a n d P r o p o r t i o n a l R e a s o n i n g
