Unit Rate
Constant of Proportionality
Sneakers
Ratios
Proportional Reasoning
100

George can type 20 words in 5 minutes.
What is the unit rate?

4 words per minute

100

What is the equation to find Constant of Proportionality?

k=y/x

100

Nike Jordans are named after who?

Michael Jordan

100

Are the ratios proportional?

      5      10
     ---     ---
      6      12

Yes, they are proportional

100

If Amy is 5 years old and her brother is 10 years old, how old will Amy be when her brother is 20 years old.

Amy will be 15 years old
200

Harry can read 30 sentences in 6 minutes.
What is the unit rate?

5 sentences per minute

200

5 fiction novels cost 10 dollars and 7 comic books cost 14 dollars. Is there a proportional relationship and if so, what is the constant of proportionality?

Yes, there is a proportional relationship and the constant of proportionality is 2.

200

What dunk is the most overrated?

Panda dunks

200

Are the ratios proportional?

   3       6
  ---     ---
   4       9

No, they are not proportional

200

Tim buys 4 games and Jim buys 6 games.
The ratio of Tim's games to Jim's games is 4:6.
Simplify the ratio in colon form.

2:3

300

3 people in a reading contest. Who reads the fastest?

Bailey: 40 words in 2 minutes
Carey: 60 words in 4 minutes
Jerry: 54 words in 3 minutes

Bailey, she can read 20 words per minute.

300

What is the constant of proportionality in the equation
y = 4.4x

The CoP is 4.4

300

Yeezys are shoes from a collaboration between Addidas and who?

Kanye West

300

Solve for c

   c       32
 ---      ---
 10       40

c = 8

300

Timmy has 8 shirts while Jimmy has 13 shirts.
The ratio is 8:13.
Will the ratio stay the same if they both double their shirts?

Yes, the ratio will still stay the same. 

400

Target sells 24 pencils for $1.20, how much will 6 pencils cost?

$0.30 or 30 cents

400

Does this table have a constant of proportionality?

words       1           3          5           11
minutes    30         90        150        330

Yes, the CoP is 30

400

What are the 2nd best Jordans?

Jordan 4s

400

Solve for k

   5.5       22
   ----      ----
   6.6        k

= 26.4

400

Ricky eats 6 plates of food at the buffet while Tommy eats 9 plates of food at the buffet.
The ratio is 6:9.
Will the ratio stay the same if they both ate 2 more plates of food?

No, the ratio will not be the same.
The ratio would then be 8:11 which cannot be simplified to 6:9

500
Bestbuy sells 32 laptops for $23,999.68. How much does 24 laptops cost?

$17,999.76

500

A graph has the points (2,6) and (4,12).
What is the constant of proportionality?

The CoP is 3
500

What are the best Jordans?

Jordan 1s

500

Find a and that makes the ratios proportional.

   a      24
  ---    ---
   9      b 

a = 6 and b = 36

OR

a = 8 and = 27

500

There is a bacteria in a pond that doubles itself each day. It takes 30 days for the bacteria to fill the whole pond. How many days will it take to fill HALF the pond.

29 days