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Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
5. Graphs of Proportional Relationships
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Exercise 28 Page 216

What is the form of a constant of proportionality equation?

Constant of Proportionality: 5/3
Equation: y=5/3x

Practice makes perfect

Relationships where y is proportional to x follow a specific format. y= mxWe can substitute the x= 12 and y= 20 into the equation to determine the constant of proportionality, m.

y=mx
SubstituteII

x= 12, y= 20

20=m( 12)
â–¼
Solve for m
RearrangeEqn

Rearrange equation

m(12)=20
DivEqn

.LHS /12.=.RHS /12.

m=20/12
ReduceFrac

a/b=.a /4./.b /4.

m=5/3

Now that we have the constant of variation, we can write the equation relating x and y. y= 5/3x

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arrow_right Try It p.212-213
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Try It 2 (Page 212)
Try It 3 (Page 212)
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arrow_right Review & Refresh p.215
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Review & Refresh 2 (Page 215)
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Review & Refresh 5 (Page 215)
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arrow_right Concept, Skills, & Problem Solving p.215-216
Concept, Skills, & Problem Solving 12 (Page 215)
Concept, Skills, & Problem Solving 13 (Page 215)
Concept, Skills, & Problem Solving 14 (Page 215)
Concept, Skills, & Problem Solving 15 (Page 215)
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Concept, Skills, & Problem Solving 19 (Page 215)
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Concept, Skills, & Problem Solving 23 (Page 216)
Concept, Skills, & Problem Solving 24 (Page 216)
Concept, Skills, & Problem Solving 25 (Page 216)
Concept, Skills, & Problem Solving 26 (Page 216)
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