Define the Vocab
is a rate that has 1 as its denominator. To find a unit rate, set up a ratio as a fraction and then divide the numerator by the denominator.
Y = 20 and X= 2, K=?
K=10
Find the constant of proportionality, y=7x.
What is 7
Darell made a scale drawing of a shopping center. The parking lot is 4 centimeters wide in the drawing. The actual parking lot is 40 meters wide. What scale did Darell use?
1 centimeter:10 meters
With some species of bamboo, you can actually see them grow. You could observe 30 centimeters of growth in just 1/3 of a day. At what rate does this bamboo grow?
(Simplify your answer and write it as a proper fraction, mixed number, or whole number.)
90 centimeters per day
Proportion
is a number sentence where two ratios are equal
X = 15, K= 3/5 , Y=?
Y= 9
Find the constant of proportionality. 56x=7y
k=8
Jonah measured a picnic area near the river and made a scale drawing. The picnic area, which is 70 yards wide in real life, is 10 inches wide in the drawing. What scale did Jonah use?
1 inch:7 yards
Using her garden hose, Camilla filled up a 4-gallon bucket in just 1/6 of a minute. At what rate does water flow through the hose?
(Simplify your answer and write it as a proper fraction, mixed number, or whole number.)
24 gallons per minute or
Constant of Proportionality
A constant ratio of two variables related proportionally
K= 2, Y=36, X =?
X = 18
Find the constant of proportionality,
10 = k * 200
What is
1/20
Luke measured a swimming pool and made a scale drawing. The scale he used was 7 centimeters : 3 meters. The pool is 105 centimeters long in the drawing. How long is the actual pool?
45 meters
An airplane cruises 1 kilometer in 1/12 of a minute. What is its cruising speed?
(Simplify your answer and write it as a proper fraction, mixed number, or whole number.)
12 kilometers per minute
Scale
the ratio between two set of measurements
K = 2/9 , X=81, Y=?
Y=18
What is the constant of proportionality for the equation,
3y = 9x
What is k=3
Samuel measured a house and its lot and made a scale drawing. The scale he used was 14 inches : 5 feet. In the drawing, the porch is 56 inches wide. What is the width of the actual porch?
20 feet
Jen rode her bike 1/5 of a mile to her friend's house. It took her 5 minutes to get there. What was Jen's speed?
1/25
mile per minute
Scale Drawing and give an example
A drawing that uses a scale to make an object smaller than or larger than the real object
Y= 3/4 , X= 9/5 , K=?
K=
5/12
Find the constant of proportionality (k) for the equation:
(2y)/x = 44
What is k = 22
A park district is building an outdoor tennis court based on a scale drawing that measures 30 cm long by 13.75 cm and uses the scale 1 cm : 0.8 m. What is the area of the actual tennis court in square meters?
264 m2
To make banana bread, Colin uses 3/4 of a cup of brown sugar for every 2 cups of flour. How much brown sugar should Colin use to make a small batch with only 1 cup of flour?
(Simplify your answer and write it as a proper fraction, mixed number, or whole number.)
3/8
cup of brown sugar