Unit Rate
Proportional Relationships
Scale Drawings
Proportional Graphs
100
5 pens cost a total of $3 at the store. What is the cost per pen?
($3)/( 5pens)
$0.60 per pen
100
What is the unit rate (in miles per gallon), for the table shown?
24 miles per gallon
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?
1 inch = 5 miles
4 inches = 20 miles
100
What is the unit rate of the graph below?
$10 per hour (1, 10)
200
Joann earns $55 after working for 4 hours.
What is her hourly wage?
($55)/(4 hours)
$13.75 per hour
200
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.
200
Lana makes a model of her house that is 6 inches tall. If her actual house is 18 feet tall, what is the scale of the model?
6 inches : 18 feet
1 inch : 3 feet
200
What does the point (12, 192) mean on the graph?
You can make 192 cookies with 12 cups of flour
300
A hiker climbs ⅚ of a mile in 3 hours. What is the unit rate in miles per hour?
5/6 mile = 3 hours
5/18 mile = 1 hour
300
A car uses 4.5 gallons of gasoline to travel 180 miles. How many miles can the car travel on 16 gallons of gasoline?
180 miles = 4.5 gallons
40 miles = 1 gallon
640 miles = 16 gallons
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?
1 cm = 10 meters
7.5 cm = 75 meters
300
How many cookies can you make with 10 cups of flour?
160 cookies
400
A baker uses 3/4 cup of sugar for every 2 dozen cookies. How much sugar is used per cookie?
3/4 c sugar = 24 cookies
1/32 c sugar = 1 cookie
400
A recipe requires 2 1/2 cups of flour for every 2 cups of sugar. How many cups of sugar are needed if you use 15 cups of flour?
2.5 c flour = 2 c sugar
15 c flour = 12 c of sugar
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
Which point on the graph represents the unit rate?
(1, 16)
500
Michael can walk at a rate of 3/8 of a mile in 1/4 of an hour. What is his rate of speed?
3/8 mile = 1/4 hour
1 1/2 miles = 1 hour
500
Using the table shown, how many cups of vinegar (y) will be needed if I used 2/3 cup of spices (x)?
1 c spices = 12 c vinegar
2/3 c spices = 8 c vinegar
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?
1 inch : 48 inches
10 inches: 480 inches
40 feet
500
Which point on this graph represents the unit rate?
(1, 30)