"K"onstantly Annoyed
Proportionally Awesome
Unit Rate Fun
100
What is the equation for finding the constant rate in proportional relationships?
k= y/x
100
2a. Is there a proportional relationship represented?
Yes or No?
No. Does not go through the Point of Origin
(o,o)
100
What equation can be used to find the Unit rate of proportional relationships?
k=y/x
200
1b.
y=4x
y=KX
200
2b. Is this a proportional relationship? Write yes or no.
No! Find the constants of each set of ratios BEFORE making a decision: K=y/x
2/12 = 1/6
5/30 = 1/6
9/54 = 1/6
12/60=1/5
200
4. Kelsie knits 
scarf in 
hour. What is the unit rate in amount of scarf knit per hour? Be sure to show your work on your white board!
OR write a complex Fraction and solve for K (constant)
y/x = 1/3 / 1/2
300
7. What is 40% of 160? Be sure to show your work! Write your Ratio Equation on your White Board.
x/160 = 40/100 P/W = %/100
X= 64
64 is 40% of 160
300
2c. Is a proportional relationship represented? Yes or No?
Yes! Straight Line goes through the point of origin (0,0) and has a constant rate of 1
300
5. Aidan knits 
scarf in 
hours. What is the unit rate in amount of scarf knit per hour? Be sure to show your work!
k=y/x Unit rate is the same as the constant
1) Decide what is Y and what is X
2) 4/5 / 3/4 set up a complex fraction and divide
1 1/15 scarfs per hour
400
1a. What is the constant (K) of Proportionality?
K=
Y/X = 40/10 = 4
K=4
400
3a. Based off this graph, write the constant of proportionality.
k=y/x k=2/1
k=2
400
6. Who knits at a faster Rate. Kelsie or Aiden. How do you know? Refer to Problem 4 and 5.
Aiden knits 1 1/15 scarf per hour
Kelsie knits 2/3 scarf per hour
Aiden Knits at a faster rate
500
9.Your family went to a restaurant where the total came out to $112. Since you enjoyed the meal, your family decides to leave a 22% tip. How much will your family pay? Be sure to show your work!
1. Set up your equation:
p/w = %/100 X/160= 22/100
2. Decide to Either Add or subtract the Part from the Whole Amount. P= $24.64 W= $112
Add your tip money: $24.64 + $112 = $136.64
500
3b. Write an equation based on this graph.
y=k(x) y=2X
500
8. A pair of shoes costs $65.50, but you have a coupon that takes off 15%. How much will the shoes cost after using the coupon? Be sure to show your work!
P/W = %/100
x/$65.50 = 15/100
x= $9.825 then decide to Add or subtract from Whole amount $65.50.
$65.50 - $ 9.825 = $55.675 or $55.68 pay for shoes