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The unit rates compares x amount of units to mow many of another?
One of another
What are some other names for unit rate?
Constant of proportionality, rate of change, coefficient. y/x
What is the constant of proportionality in the equation y=3x
k=3
A _____ compares two quantities measured in different units.
Rate
How do you calculate the unit rate?
By dividing the numerator and denominator of a given rate.
How do you find the constant of proportionality?
Divide your y by your x. y/x
Which is the better buy?
a. $22.33 for 11 bottles of juice
b. $18.09 for 9 bottles of juice
b. $18.09 for 9 bottles of juice
What are the two rules to know if a graph is proportional?
1. The graph is a straight line
2. The line passes through the origin (0,0)
Rasmus makes breakfast using 1/4 cup of cereal and 1/3 cup of milk.
What is the unit rate of cups of cereal to cups of milk?
3/4
To make 10 apple pies you need 4 pounds of apples. how many pounds of apples do you need to make 25 apple pies?
10 pounds of apples
A rectangle has a a length of 100 meters and a height of 75 meters.
Using the scale of 25 meters : 1 inch, to create a scaled drawing.
Length= 4 inches
Height= 3 inches
The equation y= 1/6x represents a proportional relationship.
What is the constant of proportionality?
k=1/6
A printer cartridge with 3 2/3 millimeters of ink will print off 2/4 of a box of paper. How many millimeters of ink will it take to print an entire box?
7 2/6
Four balls of wool will make 8 knitted caps. How many balls of wool will Malcolm need if he wants to make 6 caps?
3 balls of wool.
A garage floor measures 150 ft by 120 ft. A scale drawing of the floor on the grid paper uses a scale of 1 unit : 15 ft. What are the dimensions of the drawing?
10 by 8
Jeremiah creates a scale drawing of a leaf. The height of the leaf in his drawing is 9 cm and the height of the leaf is 11.7 ft.
What is the scale Jeremiah used for his drawing?
1 cm = ______ feet
1.3 feet
A bag with 3 4/6 quarts of peanuts can make 2 3/6 jars of peanut butter. How many quarts of peanuts would you need to make 5 jars?
7 30/90 or 7 1/3
16 gallons of ice cream are needed to serve 36 people. How many gallons of ice cream are needed to serve 99 people?
44 gallons of ice cream
Katy Creates a scale drawing of a building. The height of the building in her drawing is 16 cm and the height of the building is 40 ft.
What is the scale Katy used for her drawing?
1 cm = ______ feet
2.5 feet
A rectangle has a a length of 247 meters and a height of 195 meters.
Using the scale of 13 meters : 1 inch, to create a scaled drawing.
Length= 19 inches
Height= 15 inches