Percentages
Identifying Ratios
Proportional Concepts
Outputs
Inputs
100

What is 50% as a decimal?

0.5 or 0.50

100

If I have 5 red balloons and 3 blue balloons, what is the ratio of red balloons to blue balloons?

"5:3" or "5 to 3"

100

In a table that represents a proportional relationship, which side do the inputs go on AND which side do the outputs go on.

Inputs go on the left and outputs go on the right.

100

P.C. = 4

Inputs: 10

Outputs: 40

100

P.C. = 2

Outputs: 20

Inputs: 10

200

What is 0.75 as a percent? (Think about what the opposite of division is)

75%

200

If Mr. Miller knows 7 male friends and 4 female friends, then what is the ratio of female friends to male friends?

"4:7" or "4 to 7"

Remember that order matters!

200

Daily Double:

What is the definition of the word "constant"

"Unchanging" or "It doesn't change" or "It stays the same"

200

P.C. = 20

Inputs = 3, 5

Outputs: 60, 100

200

P.C. = 5

Outputs: 30, 40

Inputs: 6, 8


300

In the word "percent" what does "cent" mean? 

(Hint: think about pennies)

"one hundred"

300

I have 2 sausages and 4 hams. What is the ratio of sausages to hams?

"2:4" or "2 to 4"

300

In a proportional relationship, what is the equation you use to get the output?

"output = P.C. x input" or "P.C. x input = output"

300

P.C. = 11

Inputs: 3, 6, 9

Outputs: 33, 66, 99

300

P.C. = 7

Outputs: 21, 35, 56

Inputs: 3, 5, 8
400

In the word "percent" what does "per" mean?

(Hint: Think of miles per hour)

"To divide" or "to divide by"

400

If I have 17 dogs, 13 cats, and 14 birds what is the ratio of cats to birds to dogs?

"13:14:17" or "13 to 14 to 17"

400
In a relationship, what does there need to be if the relationship is proportional?

There needs to be a proportionality constant (P.C.) or the number you multiply the inputs by must all be the same.

400

P.C. = 15

Inputs: 2, 5, 6, 10

Outputs: 30, 75, 90, 150

400

P.C. = 9

Outputs: 18, 45, 63, 72

Inputs: 2, 5, 7, 8

500

What is 50% of 30?

15

500

What is the Most Reduced Form of the ratio "4:12"?

"1:3"

Notice that we divided each number by the common factor of 4 to get this!

500
For the relationship between time and distance for a train, the proportionality constant represents what?


(Hint: Does vt=d sound familar?)

The speed of the train.
500

P.C. = 0.5

Inputs: 10, 20, 30, 40, 50

Outputs: 5, 10, 15, 20, 25

500

P.C. = 0.5

Outputs: 10, 20, 30, 40, 50

Inputs: 20, 40, 60, 80, 100

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