Percentages
Proportional Relationships
Scale Drawings
Proportional Tables
Proportional Graphs
Constant of Proportionality
100
Convert 0.56 to a percentage.
56%
100
A bag contains red and blue marbles in the ratio of 3:4. If there are 12 red marbles, how many blue marbles are there?
16 blue marbles
100
A map uses a scale where 1 inch represents 5 miles. If two cities are 4 inches apart on the map, what is the actual distance between the cities?
20 miles
100
What is the unit rate (in miles per gallon), for the table shown?
24 miles per gallon
100
Is this graph proportional? Why or why not?
No, it does not pass through the origin (0,0)
100
What is the constant of proportionality of this equation?
y=5x
k=5
200
Convert 1/5 to a percentage.
20%
200
If 8 oranges cost $4, how much do 20 oranges cost?
$10 for 20 oranges
200
Lana makes a model of her house that is 6 inches tall. If her actual house is 10 feet tall, what is the scale of the model?
3 inches : 5 feet
200
How how far does the car travel on 3 gallons of gasoline?
72 miles per 3 gallons
200
What does the point (12, 192) mean on the graph?
You can make 192 cookies with 12 cups of flour
200
If given a y-value and x-value, write an equation that can be used to solve for the constant of proportionality (k)?
y/x = k
300
Find 20% of 30.
6
300
Jerome earns $45 in 4 hours and Kara earns $56 in 5 hours.
Is this a proportional relationship? Why or why not?
No, Jerome makes $11.25 per hour and Kara earns $11.20 per hour.
300
A scale drawing of a park has a scale of 1 cm = 10 m. If the length of a walking path in the drawing is 7.5 cm, what is the actual length of the walking path in meters?
75 meters
300
What is the equation of the table shown?
y = 3x
300
How many cookies can you make with 10 cups of flour?
160 cookies
300
What is the constant of proportionality in this graph?
k = 2
400
Find 8% of 75
6
400
A car uses 4.5 gallons of gasoline to travel 180 miles. How many miles can the car travel on 16 gallons of gasoline?
640 miles on 16 gallons
400
Laura drew a scale model of the garden she wants to plant this summer (shown below). If she used the scale 1 cm = 2 ft, what will the actual dimensions of her garden be?
17 ft by 8 ft
400
What is the equation of the table shown?
y = 12x
400
Which point on the graph represents the unit rate?
(1, 16)
400
Given the table, solve for k using time (x) and height (y).
k=7
500
A meal costs $32. You want to leave an 18% tip. How much money should you leave for the tip?
$5.76
500
A recipe requires 2.5 cups of flour for every 2 cups of sugar. How many cups of sugar are needed if you use 15 cups of flour?
12 cups of sugar
500
A scale model of a ship is created at a scale of 1:48. If the model measures 10 inches in length, how long is the actual ship in feet?
40 feet
500
Using the table shown, how many cups of vinegar (y) will be needed if I used 2/3 cup of spices (x)?
8 cups of vinegar
500
What is the equation of this graph?
y=16x
500
Which point on this graph represents the constant of proportionality?
(1, 30)