Unit Rates with Fractions
Unit Rates with Money
Proportional Relationships on a Graph
Proportional Relationships on a Table
#Random
100
A tire shop had to fill 2⁄5 tires with air. It took a small air compressor 1⁄3 seconds to fill them up. Which expression correctly shows how long would it take to fill 1 tire?
A) (2/5)/(1/3)
B) (1/3)/(2/5)
Since we are calculating per 1 tire, divide by the tire rate
A) (2/5)/(1/3)
B)(1/3)/(2/5)
100
How much will I have to pay to enter the fair if each adult ticket is $5 and each child ticket is $2.50 and I am going by myself with my two little sisters?
5 + (2*2.50) = $10
100
Which of the following is a proportional relationship? Explain
A) It is a straight line and it goes through the origin.
100
If proportional, what is k?
Yes it is proportional. k = 5
100
Explain what this quote means to you: "There is no elevator to success; You have to take the stairs"
Answers will vary around : Achieving your dreams and success comes with hard work. There are no shortcuts, no easy way out. You have to work hard, sweat, get tired to achieve it.
200
A machine made 3⁄5 pencils in 1⁄4 minutes. How many pencils would the machine have made after 1 minute?
(3/5) / (1/4) = 12/5 or 2 2/5 pencils per minute
200
Which price is proportional to a price of $4.92 for 3 chicken strips at Popeyes?
A) 4 chicken strips for $8.50 at Chick Fil A
B) 12 chicken strips for $19.68 at Burger King
C) 6 chicken strips for $10.08 at McDonalds
B) 12 chicken strips for $19.68 at Burger King
Unit price: $1.64 per strip
200
Lillian says the constant of proportionality for this graph is 0.5 or 1/2. Is she correct? Why or why not?
Lillian is correct because at any given point, y/x or (1/2), (2/4), (3/6), etc are all equal to 0.5
200
Table A
200
An Uber ride cost $2.25 for the first mile and $1.25 for every additional mile. How many miles can I travel with $15?
Explain
10 miles
300
Mr. Castro's car runs 600 miles on 5/3 gallons. Who's car runs more miles per gallon:
A) Ms. Davila's 200 miles on 8/12 galllons
B) Mr. Rivera's 100 miles on 1/5 gallons
C) Mr. Davis' 100 on 2/5 gallons
D) Ms. M's 300 on 15/12 gallons
Mr. Castro's car runs 600 miles on 5/3 gallons. Who's car runs more miles per gallon: = 360m/g
A) Ms. Davila's 200 miles on 8/12 galllons = 300m/g
B) Mr. Rivera's 100 miles on 1/5 gallons = 500m/g
C) Mr. Davis' 100 on 2/5 gallons = 250m/g
D) Ms. M's 300 on 15/12 gallons = 240m/g
300
If 4 tacos at Taco Tuesday cost $3.88, how much does 1 taco cost? Round to the nearest hundredth of a dollar.
3.88/4 = $0.97
300
Select 2 answers
A) This graph represents a proportional relationship
B) This graph does not represent a proportional relationship
C) The equation for this graph is y=1/5x
D)The equation for this graph is y=10x
E) The equation for this graph is y=5x
A) This graph represents a proportional relationship
E) The equation for this graph is y=5x
300
Which of the relationships is not proportional? Why?
A) Because it does not have a constant rate of 5 throughout the table
300
What is Ms. Davila's middle name?
Lee
400
A cake recipe calls for 5/3 cups of sugar for every 1/3 cups of flour. What is the unit rate?
_____ cups of sugar per cup of flour
(5/3)/(1/3) = 15 cups of sugar per cup of flour
400
A pack of 30 Capri Sun juice pouches at Walmart cost $6.48. How much does each juice pouch cost? Round to the nearest hundredth of a dollar.
$6.48/30 = $0.216 = $0.22
400
What does the point (4,48) mean?
To rent a canoe for 4 hours will cost $48
It will cost $48 to rent the canoe for 4 hours
400
What equation would represent this table in the form y=kx
y= 3x
400
What is the constant of proportionality in the equation p=10.5t?
10.5
500
A cookie recipe called for 3 1⁄2 cups of sugar for every 1⁄3 cup of flour. If you made a batch of cookies using 1 cup of flour, how many cups of sugar would you need?
(3 1/2)/(1/3) = 10 1/2 OR 10.5 OR 21/2 cups of sugar
500
Which chips are a better but financially?
25 Mini Takis for $10.37 OR 40 Hot Cheetos for $16.10
Explain.
40 Hot Cheetos for $16.10 because the unit price (0.40) is less than the Takis unit price (0.41)
500
The ordered pair (_____,_____) represents the unit rate when 1 cup of flour is used.
The ordered pair (1,16) represents the unit rate when 1 cup of flour is used.
500
The ordered pair for this table's unit rate would be (1,_____) which would mean that every ticket costs ______.
The ordered pair for this table's unit rate would be (1,1.5) which would mean that every ticket costs $1.50.
500
Select all the equations of a proportional relationship?
A) y=1/3x
B) y=3x
C) y=3x + 8
D) y = 7x + 9
E) y = 1/3 x + 8
A) y=1/3x
B) y=3x
The only two equations with one term