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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 27 Page 216

What is the form of a constant of proportionality equation?

Constant of Proportionality: 24
Equation: y=24x

Practice makes perfect

Relationships where y is proportional to x follow a specific format. y= mxWe can substitute the x= 3 and y= 72 into the equation to determine the constant of proportionality, m.

y=mx

x= 3, y= 72

72=m( 3)

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Solve for m

Rearrange equation

m(3)=72

.LHS /3.=.RHS /3.

m=72/3

Calculate quotient

m=24

Now that we have the constant of variation, we can write the equation relating x and y. y= 24x

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