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200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Vocabulary Constant Of Proportionality Dependent/ Independent.

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Presentation on theme: "200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Vocabulary Constant Of Proportionality Dependent/ Independent."— Presentation transcript:

1 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Vocabulary Constant Of Proportionality Dependent/ Independent Variable Writing Equations Algebraic Expressions

2 What is equation which states that two ratios are equal?

3 Proportion

4 What is a mathematical sentence that contains an equal sign?

5 Equation

6 What is the relationship between two quantities whose ratio remains constant when one variable increase the other will increases proportionally?

7 Direct Proportion

8 What is the constant value of the ratio of two porportional quantities X and Y which is usually written as Y=kx?

9 Constant of proportionality

10 What is a number, a variable, or a product of numbers and variables.?

11 Term

12 Rewrite the constant of proportionality so that you are solving for X.

13 Y=kx divide both sides by K X=Y/K

14 Using the constant of proportionality, write an equation that shows horse legs in comparison to number of horses.

15 X= number of total horses Y=Number of horse legs Y=4x

16 If there are 7 mini marshmallows for every ounce of hot chocolate. If we drink 35 marshmallows, how many ounces of chocolate were in the cup?

17 Y= marshmallows x=ounces y=7x 35=7x divide both sides by 7 x=5 ounces

18 Solve for the constant of proportionality XY 111.5 223 334.5

19 Y=kx 11.5=k(1) 11.5=k

20 How far will the girl scout travel on the 170 th day of selling girl scour cookies? DayDistance Traveled 12.5 miles 25 miles 1025 miles 2050 miles

21 Y= miles traveled X= number of days Y=kx Y=2.5 X Y= 2.5 (170) Y= 425 miles

22 On a coordinate plane, the independent variable is normally the ____ coordinate and the dependent variable is normally the ____ coordinate.

23 Independent= X coordinate Dependent= Y coordinate

24 Identify the independent and the dependent variable in the following equation. Sam surfs 400 miles in 100 hours at the rate of 4mph

25 Sam surfs 400 miles in 100 hours at the rate of 4mph.

26 Mrs. Youmans said that she would donate twice what her class collected in donations for the food drive. Write an equation showing how much she will donate if the class collected $300.

27 Y=Kx Y=Mrs. Youman’s donation K=2 x= class donation y=2x Y= 2(300) Y=$600

28 Write an equation which explains this graph in terms of dependent and independent variables.

29 Y=kx 1=k(.2) k=5 y=5x

30 Write an equation which represent that only males and females make up the 56 teachers at RHMS?”

31 Males + females = 56 m + f= 56

32 Write an equation which shows that “ The Crippens have 27 pets at home, a collection of cats(c), dogs (d), turtles (t) and fish (f).

33 27= c+ d+ t+ f

34 Denard Robinson carries the ball an average of 6.3 yds per carry. If he carries the ball, 50 times in a game. How many total yards, did he carry the ball?

35 N= total yardage per game M= total carries per game 6.3 is the average yard per carry n=6.3m n= 6.3 (50) N=315 yards for the game

36 Mrs. Miller loves to go water skiing every month. If she goes 155 times a year, write an equation and solve it for how many times a month she goes?

37 155=number of times a year M= number of months in a year W=Number of times a month she goes water skiing 155÷M=W 155÷12=W 12.92 times a month

38 Write a one step equation using X, Y and 20 in which as Y decreases X increases..

39 Y=20-X If X is 9, then Y is 11 If X is 13, then Y is 7 If X is 17, then Y is 3

40 If m=10 and n=5 evaluate the expression 2m-n

41 M=10, n=5 2m-n 2(10)-5 20-5 15

42 M==3, n=5, p= 2.1 30p-mn

43 30(2.1)-(3)5 63-15 48

44 Complete the chart Complete the table Mrs. Crippen’s AgeMr. Crippen’s Age 1210 4038 5856 a?

45 A-2

46 Complete the table LengthWidthArea 11333 15345 3.0939.27 L3?

47 A=3(L)

48 Write “five and four hundredths is two and one tenth subtracted from y” as an algebraic equation.

49 Write “five and four hundredths is two and one tenth subtracted from y” as an algebraic equation. 5.04=y-2.1


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