Constants in Graphs
What is the constant of proportionality:
X = 6 hours Y = 36 miles
What is 6 miles per every "x" hours
**BONUS QUESTION**
Using a table of equivalent ratios,
the COP would be determined by ______________
Dividing y by x
What value represents "k" (COP):
5 = 15 / 3
What is 5
Does 3 glasses of lemonade for $2.25
equal 6 glasses of lemonade for $4.50
What is YES b/c each glass (COP) is 75 cents
Interpret/translate the COP equation
y = .50x where "x" represents the number of kiwi and "y" represents the total cost ($)?
What is "the total cost of kiwi equals .50 times the number of kiwi.
**BONUS QUESTION**
What is the constant of proportionality:
X= 28 apples Y= $7.00
What is $0.25 for every "x" apple
A table shows that for every 2 cups waffle mix (x) you will need 1/2 cup of water (y).
Find the COP.
What is k = 1/4
What value represents "k" (COP):
10x = y
What is 10
Tammy went on 10 rides at State Fair for $35.00.
Roger went on 12 rides at State Fair for $48.00.
Is the cost per ride proportional?
What is NO.
True or False...
In a table of 6 ratios only 2 have to be equal to have a proportional relationship?
What is FALSE.
What is the constant of proportionality:
X = 3 gallons Y = 24 miles
What is 8 miles for every "x" gallon
A table shows that for every 5 gallons of gas (x) you will travel 140 miles (y).
Find the COP.
What is k = 28
What value represents "k" (COP):
y = 15x
What is 15
**BONUS QUESTION** (HINT: R8 in Agenda)
Todd is selling raspberries in pints, quarts, and 1-gallon containers.
His sign shows 1 pt./ $3, 1 qt./ $6 & 1 gal./ $24.
Do Todd's prices form a proportional relationship?
What is YES
b/c 1 quart = 2 pints and 1 gallon = 4 quarts.
What does a proportional relationship look like on a graph?
What is a straight line through the origin (0,0)
What is the constant of proportionality:
X = 4 scoops of coffee Y = 12 cups
What is 3 cups for every "x" scoops of coffee
A table shows that for every 1/2 cup of granola (x) you will need 1 cup of yogurt (y).
Find the COP.
What is k = 2
What value represents "k" (COP):
x = y/30
What is 30
Maria is selling 6 kittens; four females, two males. Maria charges $600 for 4 females (girls rule!) and charges $250 for the males (boys drool!).
Do her fees form a proportional relationship?
What is NO!
**BONUS QUESTION**
What is the constant of proportionality:
5 streets : 20 stores
Use the COP to determine the number of stores on 13 streets.
What is COP = 4
There are 52 stores on 13 streets.
What is the constant of proportionality:
X = 2 eggs Y = 1 cup of shredded cheese
What is 1/2 cup of shredded cheese for every "x" egg
A table shows that for every dozen cupcakes (x)
you will need 36 ounces of sprinkles (y).
Find the COP.
What is k = 3
Because "a dozen" is 12"
**BONUS QUESTION**
What value represents "k" (COP):
17 + 50x = y
There isn't one...it's not a COP equation!
Bob is going on a hay ride at Apple Holler.
30 minutes will cost $10.00 and 3 hours is $50.
Are the ride charges proportional?
What is NO.
What are the 3 COP equations?
What is
k = y / x
kx = y
y = kx