PO D Wawa charges $7.50 for 3 packs of Trident. Find the unit rate.

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Presentation transcript:

PO D Wawa charges $7.50 for 3 packs of Trident. Find the unit rate.

PO D Melissa scored 48 points over the last four games. How many points per game does she score? Day 2

1-4 Proportional and Nonproportional Relationships Two quantities are proportional if they have a constant ratio or unit rate. For relationships in which this ratio is not constant, the two quantities are nonproportional.

Example: Costs of order Pizzas ordered = 8181 === = All of the ratios above are equivalent ratios because they all have the same value. $8 per pizza=

Exam ple: Below is a chart of the amount of money Andrew earns for mowing lawns. Is the amount of money he earns proportional to the number of hours he spends mowing? Explain. Earnings ($) Time (h)1234 Yes it is proportional. All of the ratios can be simplified to $18 per hour $18 Per hour $18 Per hour $18 Per hour $18 Per hour

Exam ple: Uptown tickets charges $7 per baseball game ticket plus a $3 processing fee per order. Is the cost of an order proportional to the number of tickets ordered? Explain. Cost ($) Tickets ordered1234 No it is not proportional. Each of the ratios simplifies to a different value $10 Per ticket $8.5 per ticket $8 per ticket $7.75 per ticket

Exam ple: You can use the recipe shown to make fruit punch. Is the amount of sugar used proportional to the amount of mix used? Explain. Cups of sugar½11½2 Envelopes of mix 1234 Yes it is proportional. Each of the ratios simplifies to the same value 0.5 cups Per envelope 0.5 cups Per envelope 0.5 cups Per envelope 0.5 cups Per envelope

Exam ple: The tables shown represent the number of pages Martin and Gabriel read over time. Which situation represents a proportional relationships between the time spent reading and the number of pages read? Explain. Pages Martin read 246 Time51015 All of the ratios between Martin’s quantities are 2/5. So Martin’s reading rate represents a proportional relationship Pages Gabriel read 347 Time51015

Exam ple: The cost to rent a lane at a bowling alley is $9 per hour plus $4 for shoe rental. Fill in the table that shows the total cost for one bowler for each hour. Is the total cost proportional to the hours bowled? # of hours1234 Total Cost$$$$ No, the ratios are not the same $13 Per hour $11 Per hour $10.34 Per hour $10 Per hour

Exam ple: Which situation represents a proportional relationship between the time spent typing and the number of words typed? Explain. Words Cole typed Time (s) Cole’s typing rate represents a proportional relationship because all of the ratios simplify to 2/3 Words Graham typed Time (s)306090