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Unit Rate and Proportional Relationships

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Presentation on theme: "Unit Rate and Proportional Relationships"— Presentation transcript:

1 Unit Rate and Proportional Relationships

2 Terry bought 2 1 2 dozen cookies. She paid $15 for her purchase
Terry bought dozen cookies. She paid $15 for her purchase. If there were 12 cookies in each dozen, what was the cost per cookie? $0.50 per cookie

3 In which situation is the amount of money earned determined by a proportional relationship?
A) An editor charged her clients $1.25 per page for editing. B) A tour guide at a museum was paid a salary of $1,500 for the entire year. C) A dog walker charged her clients a $10 flat- rate monthly fee plus $5 per walk. D) A songwriter was paid a different amount for each song she wrote depending on its popularity. A

4 A certain laundry detergent recommends cup of detergent for a load of clothes. How much detergent is recommended for 4 loads of clothes? 2 cups

5 The number of gallons of gasoline purchased are shown in the table below.
What is the price for one gallon of gasoline? $3.25 per gallon

6 The constant of proportionality for a function is 2
The constant of proportionality for a function is 2. Which of the following graphs BEST represents the situation? Graph A

7 Edward can run 1 2 mile in 300 seconds
Edward can run mile in 300 seconds. What is Edward’s unit rate in minutes? 0.1 miles per minute

8 A hybrid vehicle claims to get 60 miles per gallon in the city
A hybrid vehicle claims to get 60 miles per gallon in the city. The cost of gas is $3.60 per gallon. Write an equation to calculate the cost of gas, g, per mile driven, m. G = 0.6m

9 Sara used 4 1 2 packs of pencils in the first 1 4 of the year
Sara used packs of pencils in the first of the year. At what rate is Sara using pencils? 18 packs per year

10 Brad can type 1260 words in 1 2 hour
Brad can type 1260 words in hour. What is Brad’s average typing rate in words per minute? 42 words per minute

11 Write an equation that will calculate the distance, y, Amanda has driven after x hours?
Y = 40x

12 A recipe for 48 biscuits uses 2 2 3 cups of biscuit mix
A recipe for 48 biscuits uses cups of biscuit mix. How many biscuits are made from each cup of biscuit mix? 18 biscuits

13 An experimental vehicle was able to travel mile on gallon of water. At this rate, what was the mileage in miles per gallon of water for this vehicle? 6 miles per gallon

14 The value of y is proportional to x. When x = 3, then y = 15
The value of y is proportional to x. When x = 3, then y = 15. Write an equation that represents the relationship between x and y. Y = 5x

15 Ms. Gallegos works 8 hours per day. She made $2,400 for working 10 days. How much money does Ms. Gallegos make per hour? $30 per hour

16 According to this graph, how fast is the train moving in miles per hour?

17 On a drawing of a house, inches is equal to feet of the actual house. How many feet are equal to 1 inch on the drawing? 3.4 feet per inch

18 Write an equation that represents the amount of time it takes the student to complete j number of jumping jacks. T = 1.25j

19 Amy baby-sat from 7:30 p. m. to 11:00 p. m. If Amy was paid $15
Amy baby-sat from 7:30 p.m. to 11:00 p.m. If Amy was paid $15.75, how much did she earn per hour? $4.50 per hour


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