5.5 Proportional and Nonproportional relationships

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Presentation transcript:

5.5 Proportional and Nonproportional relationships Objective: students will be able to identify proportional vs nonproportional relationships. They will also be able to find the constant rate of change given a word problem.

Notes Proportional: constant ratio or rate. Ex: x: 1, 2, 3, 4, 5 y: 2, 4, 6, 8, 10 Rate of change of x to y is ½. Nonproportional: ratios and rates not constant. Ex: x: 1, 2, 3, 4, 5 y: 2, 6, 8, 10 ,12 Rate of change not constant.

Are they Proportional? Are they proportional? Explain

Are they Proportional? Are they proportional? Explain

Are they Proportional? Are they proportional? Explain

Are they Proportional? Are they proportional? Explain

Determine if the graphs are proportional

Determine if the graphs are proportional

Determine if the graphs are proportional

Write and solve an equation Constant of proportionality: constant ratio. Constant of proportionality formula: y = kx, k = constant ratio. The cost of 13 gallons is $41.47. Write and equation relating the cost to number of gallons. How much does 18.5 gallons cost?

Write and solve an equation Luke earned $54 after mowing 3 lawns. Write an equation comparing earnings to lawns mowed. How much earned after 7 lawns? A store having a ¼ sale on jeans. Write an equation relating sale price to regular price. How much would $32 jeans cost on sale?

Wrap up Questions or Comments hw: worksheet