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Big Ideas Math: Modeling Real Life, Grade 7

BI

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

x= 40, y= 45

45=m( 40)

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Solve for m

Rearrange equation

m(40)=45

.LHS /40.=.RHS /40.

m=45/40

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

Subchapter links

Try It p.212-213

Self-Assessment for Concept & Skills p.213

Self-Assessment for Problem Solving p.214

Review & Refresh p.215

Concept, Skills, & Problem Solving p.215-216