All The Tables
Yo! I'll solve it!
Call the COPs!
All The Equations
Proportional or Not?
100
Which table does not represent a proportional relationship? How do you know?
A, it has no COP.
100
Complete the ratio table.
100
What is the constant of proportionality in the following equation?
y=x/2
1/2
100
Write an equation for the following table for cost, c, per number of months, m.
c=24.5m
100
To rent a moving van for a day, a company charges $10 and an additional $1 for each mile driven. Is the relationship between the miles driven and the total cost a proportional relationship? Explain how you know.
Not proportional. The additional $10 changes the situation.
If you go 1 mile, you pay $11. If you go 2 miles, you pay $12.
200
Decide whether this table could represent a proportional relationship. Explain your thinking.
The table doesn’t represent a proportional relationship because the values in the rows are not always in the same ratio.
200
Neptune loves to swim. He swims 9 laps in 2 minutes. Which table represents Neptune?
C
200
What is the constant of proportionality represented in the following table?
0.05
200
A mother buys lunch boxes for each of her 4 children. She pays a total of $52. If n represents the number of lunchboxes and c represents the total cost, in dollars, which equation represents the relationship between n and c?
C
200
Proportional or not?
Proportional.
300
Which relationship is NOT proportional?
A B C D
D
300
A rocket can fly 400 miles in 10 minutes flying at a constant rate.
d is the distance the rocket flies in miles
t is the time it takes the rocket to fly in minutes
If the rocket was going to fly for 30 minutes, how many miles would it fly?
1200 miles
300
Han and Elena are exchanging U.S. dollars and Mexican pesos. There are 300 U.S. dollars to 6,000 Mexican pesos.
Han says the constant of proportionality for the relationship between U.S. dollars and Mexican pesos is 20. Elana says it is 1/20. Whose claim is correct? How do you know?
A. Han B. Elana C. Both D. Neither
C, because if x=US dollars and y=Mexican pesos the equation is y=20x. If x=Mexican pesos and y=US dollars then the equation is y=1/20x.
300
Tyrone’s car can travel about 30 miles for each gallon of gas. Write two different equations representing the relationship between the distance traveled in miles, d, and the number of gallons of gas, g.
d=30g
g=1/30d
300
Proportional or not?
Proportional.
400
Which table is proportional?
BLUE, PINK, BOTH, NEITHER
BOTH.
The COP for Blue is 4/5.
The COP for Pink is 3/5.
400
The equation g = 0.2w represents the amount of medication in grams, g, that you should give to a dog that weighs w pounds.
How much medication should you give to a dog that weighs 60 pounds?
12 grams
400
Tom is going to the store to buy some root beer. The equation g = 1/2r represents the amount of grams of sugar, g, in r ounces of root beer. What does the COP represent in this situation?
Every ounce of root beer has a 1/2 gram of sugar.
400
The shelter has 5 cats, c, for every 2 dogs, d. Write 2 equations for the proportional relationship between cats and dogs in the shelter.
d=2/5c
c=5/2d
400
Select all the information that lets you know that there is a proportional relationship between time and rainfall.
D, E
500
The relationship between a distance in feet, y, and the same distance in miles, x, is represented by the equation y = 5280x.
Yes
500
A store sells peanuts by the pound. The equation c = 0.8p represents the cost in dollars, c, of a bag of peanuts that weighs p pounds. How many pounds of peanuts can you buy for $1.00?
1.25 pounds of peanuts
500
Ashley and Oscar were looking at the proportional relationship in this table.
Ashley says the constant of proportionality is 540. Oscar says the constant of proportionality is 9. Who is correct? Ashley, Oscar, both, or neither? Explain your reasoning.
Both. Ashley is using miles per hour and Oscar is using miles per minute to calculate the constant of proportionality.
500
In order to make purple paint, you need to mix 1/2 gallon of blue paint with 2/3 gallons of red paint. Write an equation for the relationship between the number of gallons of blue paint, b, and the number of gallons of red paint, r, needed to make purple paint.
r=4/3b
or
b=3/4r
500
Select all of the relationships below that are proportional:
a, b, c