IM 8.3.4 Lesson: Comparing Proportional Relationships

[size=150]The equation [math]y=4.2x[/math] could represent a variety of different situations.[/size][br][br]Write a description of a situation represented by this equation. Decide what quantities [math]x[/math] and [math]y[/math] represent in your situation.
Make a table to represent the situation.
Graph this situation using your table. Remember to number and label your axes.
[size=150]Elena babysits her neighbor’s children. Her earnings are given by the equation [math]y=8.40x[/math], where [math]x[/math] represents the number of hours she worked and [math]y[/math] represents the amount of money she earned. [br][br]Jada earns $7 per hour mowing her neighbors’ lawns.[/size][br][br]Who makes more money after working 12 hours? How much more do they make? Explain your reasoning by creating a graph or a table.
Make a table to represent the situation.
Create a graph for this situation. Remember to number and label your axis.
What is the rate of change for each situation and what does it mean?
Using your graph or table, determine how long it would take each person to earn $150.
Clare and Han have summer jobs stuffing envelopes for two different companies.
[table][tr][td]Han earns $15 for every 300 ​​​​​envelopes he finishes.[/td][td]Clare’s earnings can be seen in the table.[/td][/tr][tr][td][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][br]How much money does each person make after stuffing 1,500 envelopes? Use the graph below to help you answer this question.
Create a graph of this situation. Remember to number and label your axis.
What is the rate of change for each situation and what does it mean?
Using your graph, determine how much more money one person makes relative to the other after stuffing 1,500 envelopes.  Explain or show your reasoning.
Tyler plans to start a lemonade stand and is trying to perfect his recipe for lemonade. He wants to make sure the recipe doesn’t use too much lemonade mix (lemon juice and sugar) but still tastes good.
[table][tr][td]Lemonade Recipe 1 is given by the equation [br]where  represents the amount of lemonade mix [br]in cups and  represents the amount of water in cups.  [/td][td]Lemonade Recipe 2 is given in the table.[/td][/tr][tr][td][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][br] If Tyler had 16 cups of lemonade mix, how many cups of water would he need for each recipe? Explain your reasoning by creating a graph or a table.
Make a table to represent the situation.
Create a graph of this situation. Remember to number and label your axis.
What is the rate of change for each situation and what does it mean?
Tyler has a 5-gallon jug (which holds 80 cups) to use for his lemonade stand and 16 cups of lemonade mix. Which lemonade recipe should he use? Explain or show your reasoning.
Han and Clare are still stuffing envelopes. Han can stuff 20 envelopes in a minute, and Clare can stuff 10 envelopes in a minute. They start working together on a pile of 1,000 envelopes.
How long does it take them to finish the pile?
Who earns more money?

IM 8.3.4 Practice: Comparing Proportional Relationships

A contractor must haul a large amount of dirt to a work site. She collected information from two hauling companies.
[table][tr][td]EZ Excavation gives its prices in a table.[/td][td]Happy Hauling Service gives its prices in a graph.[/td][/tr][tr][td][img]data:image/png;base64,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[/img][/td][td][img]data:image/png;base64,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[/img][br][/td][/tr][/table][br] [br]How much would each hauling company charge to haul 40 cubic yards of dirt? Explain or show your reasoning.
Calculate the rate of change for each relationship. What do they mean for each company?
If the contractor has 40 cubic yards of dirt to haul and a budget of $1000, which hauling company should she hire? Explain or show your reasoning.
[size=150]Andre and Priya are tracking the number of steps they walk. Andre records that he can walk 6000 steps in 50 minutes. Priya writes the equation [math]y=118x[/math] where [math]y[/math] is the number of steps and [math]x[/math] is[/size][size=150] the number of minutes she walks, to describe her step rate. This week, Andre and Priya each walk for a total of 5 hours. Who walks more steps? How many more?[/size]
[size=150]Find the coordinates of point [math]D[/math] in each diagram:[/size][br][img]data:image/png;base64,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[/img]
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[/img]
Select [b]all[/b] the pairs of points so that the line between those points has slope [math]\frac{2}{3}[/math].

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