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Rates and Unit Rates Am I Proportional? Writing Equations Grab Bag 10 20 30 40 50.

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Presentation on theme: "Rates and Unit Rates Am I Proportional? Writing Equations Grab Bag 10 20 30 40 50."— Presentation transcript:

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2 Rates and Unit Rates Am I Proportional? Writing Equations Grab Bag 10 20 30 40 50

3 Rates and Unit Rates (10) At Target, you can buy 5 movies for $95.00. Find the unit rate

4 Answer (10)

5 Rates and Unit Rates (20) What is the constant of proportionality? 6 candy bars for $6.54

6 Answer (20) Unit Rate: Constant of Proportionality:

7 Rates and Unit Rates (30) What's the better buy? OPTION 1 16 oz bag of chips for $4.88 OPTION 2 18 oz bag of chips for $5.24

8 Answer (30) Option 2

9 Rates and Unit Rates (40) What is the unit rate (cups per gallon)?

10 Answer (40) 8 cups 1 gallon

11 Rates and Unit Rates (50) Mrs. Smith can buy 4 purses for $68.00 How much would it cost her if she only wanted to buy 3 purses?

12 Answer (50)

13 Am I Proportional? (10) Am I proportional? Explain why or why not.

14 Answer (10) Proportional The line is straight and passes through the origin.

15 Am I Proportional? (20) xy 14 312 824 Am I proportional? Explain why or why not.

16 Answer (20) No, all of the ratios are not equal.

17 Am I Proportional? (30) (0,0) X y Which line is proportional? (Red or blue) Explain

18 Answer (30) The red line is proportional because it is a straight line and it passes through the origin. The blue line passes through the origin but it is not straight, therefore it is non-proportional.

19 Am I Proportional (40) Am I proportional? Explain why or why not.

20 Answer (40) Non-proportional Although the line is straight it does not pass through the origin.

21 Am I Proportional? (50) xy 13 39 412 618 Am I proportional? Explain why or why not.

22 Answer (50) Yes, because all of the ratios are equal.

23 Writing Equations (10) What is the equation for constant of proportionality?

24 Answer (10) y = k x

25 Writing Equations (20) Write an equation using the following information. Miss Brace can buy 1 gumball for $0.97

26 Answer (20) y =. 97 x

27 Writing Equations (30) Find the constant of proportionality and then write an equation.

28 Answer (30) k = 2 meters y = 2 x

29 Writing Equations (40) Time (H)Amount ($) 18.12 216.24 324.36 Let _______ = __________________ Constant of proportionality: _______________________________ Equation: _______________________________

30 Answer (40) Let A = Amount of Money Let H = Hours Constant of proportionality: k = 8.12 Equation: A = 8.12 H

31 Writing Equations (50) PackageCookies 230 460 690 Let _______ = __________________ Constant of proportionality: _______________________________ Equation: _______________________________

32 Answer (50) Let P = Packages Let C = Cookies Constant of proportionality: k = 15 Equation: C = 15 P

33 Grab Bag (10) Evaluate HINT: Remember to split up the mixed numbers!

34 Answer (10)

35 Grab Bag (20) Evaluate

36 Answer (20) 2 1

37 Grab Bag (30) Evaluate using long division.

38 Answer (30)

39 Grab Bag (40) Solve using the Distributive Property.

40 Answer (40)

41 Grab Bag (50) Solve the following using algebra. 3(x+4)=3x-x+14

42 Answer (50) 3 ( x + 4) = 3x - x + 14 3x + 12 = 2x + 14 3x + 12 = 2x + 14 -2x -2x -2x -2x X + 12 = 14 X + 12 = 14 -12 -12 -12 -12 X = 2


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