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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 29 Page 216

What is the form of a constant of proportionality equation?

Constant of Proportionality: 9/8
Equation: y=9/8x

Practice makes perfect

Relationships where y is proportional to x follow a specific format. y= mxWe can substitute the x= 40 and y= 45 into the equation to determine the constant of proportionality, m.

y=mx
SubstituteII

x= 40, y= 45

45=m( 40)
â–¼
Solve for m
RearrangeEqn

Rearrange equation

m(40)=45
DivEqn

.LHS /40.=.RHS /40.

m=45/40
ReduceFrac

a/b=.a /5./.b /5.

m=9/8

Now that we have the constant of variation, we can write the equation relating x and y. y= 9/8x

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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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Concept, Skills, & Problem Solving 12 (Page 215)
Concept, Skills, & Problem Solving 13 (Page 215)
Concept, Skills, & Problem Solving 14 (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)
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