Ratios & Proportional Relationships

Rate/Ratio

100

A comparison of two values is a _______

Comparing two quantities with a relationship is a ____

Ratio

Rate

200

Ratio's can be written in 3 different ways and always have to be written in __________. 

Tell me the 3 ways and fill in the blank. 

1 to 2

1:2

1/2

simpilist form

300

There are 24 animals on the farm. 3 are pigs, 5 are horses, 4 are cows, and the rest are goats. What is the ratio of goats to total animals?

12 to 24 OR 1:2

400

John worked 8 hours and made $99. What is the rate of dollars/hour? 

$99: 8 hours

500

Mike is going to his grandma's house 3 hours away. Her house is 180 miles from Mike's house and they used 9 gallons for gas. What is the rate of miles per gallon?

180 miles:9 gallons

or 

20 miles/1 gallon

Unit Rate

100

A unit rate has the denominator of ______

1

200

There are 104 students and 4 teachers. If each teacher teaches the same amount of students, how many students does each teacher teach? 

26

300

A box of 8 juice boxes cost $3.44. What is the unit rate? 

$0.43

400

Stephanie goes to the movie's with 4 of her friends. She purchases a hot dog for herself and one for each of her friends. Her total (with no tax or tip) is $10.00. How much is each hot dog?

$2.00

500

Jack wants to get the best deal on ice cream. Is it a better deal to buy 5 oz for $3.75? or 4oz for $3.16?

**5 oz- $0.75/oz**

4oz- $0.79/oz

Proportional Relationships

100

In order to figure out if a relationship is proportional or non proportional, we must find the ________

Rate- or Rate of Change

200

A proportional graph must always do 3 things.

1) be a __________

2) Start of pass through the ________

3) Have a _____________

straight line

origin

proportional relationship

300

Are these proportional?  What is the rate?

Number of Mules     l  Bales of Haye

2                                    1

4                                     2

6                                     3

10                                  5

Yes (times 0.5 every time) 

400

1 dozen cupcakes uses 2 cups of sugar

2 dozen cupcakes uses 4 cups of sugar  

5 dozen cupcakes uses 12 cups of sugar

IS THIS PROPORTIONAL? 

 No

x2

x2

not x2

500

Make this graph proportional and tell me what the constant of proportionality is

# of girls         total # of students

3                       18

4                       24

7                       42

9                        ????

54

Constant of Proportionality

100

We use the letter ________ to represent the Constant of Proportionality 

K

200

K = 

K = y/x

300

Constant of Proportionality is always know as: 

A. Additive Inverse

B. Unit Rate

C. Ordered Pair

D. Coffee

B- unit rate

400

What is the constant of proportionality? 

x               y

0              0

4              2

7              3.5

10             5 

1/2 or 0.5

500

Graph these points and tell me what the constant of proportionality is

(0,0)

(2, 8)

(3, 12)

(5, 20) 

K= y/x

4

Proportional Relationships into Equations

100

In the equation y=1.5x, 1.5 represents the ______

Constant of proportionality 

200

Determine the constant of proportionality for the table below

x          y

3          36

5          60

10         120

K= 12

300

Kate makes 4 cakes (c) every 12 hours (h). Write an equation to show the relationship between cakes drawn and number of hours

4/12 = 3

K=3

h=3c

400

Use the equation y=8x. 

y is the total amount of money you made. 

x is how many hours you worked.

What is the constant of proportionality? What does that number mean?

8

The amount of money you made per hour

$56

500

t=0.25c where t is the total amount of money spent and c is candy. 

What is the constant of proportionality? 

How much would 12 candies cost? 

How much candy can I buy for $5?

0.25

$3.00

20