Applying Rates
If Yomiko read 3/4 of her book in 2 hours, how long will it take her to read the entire book?
2.67 hours or 2 2/3 hours
What is the constant of proportionality if y = 4x?
What is the scale of a drawing if a 5-inch drawing represents a 10-foot object?
Scale is 5 inches/10 feet = 1 in/2 feet = 1 in/24 in.
What is a unit rate?
A Unit Rate is a rate where the denominator is 1
If it takes 4 hours to complete 1/3 of a project, how long will it take to complete the entire project?
12 hours
Soichi drove 326.7 miles on 11.2 gallons of gasoline. How many miles per gallon did he get?
29.05 miles/gallon or 29 miles/gallon
Identify if the equation y = 3x +2 is directly proportional.
No, not directly proportional because of the +2.
If a scale drawing has a scale of 1 inch to 4 feet, how many inches would represent 16 feet?
4 inches
If a car travels 150 miles in 3 hours, what is the unit rate of miles per hour?
50 mph
If a car uses 11 gallons of gasoline to travel 285 miles, what is the distance per gallon?
25.9 or 26 miles per gallon
If Sonoshee drives 285 miles using 11 gallons of gasoline, how far can she drive on 15 gallons?
390 miles
Given the points (2, 8) and (4, 16), determine if these points represent a proportional relationship. If so, what is the rate of proportionality?
Yes, 1:4 or 1/4.
A map uses a scale of 1 cm:1000 meters. If two cities are 3 cm apart on the map, how far apart are they in reality?
3,000 meters
Convert the rate of 240 miles in 4 hours to a unit rate.
60 miles/hour
What is the given rate in the problem: "If a runner covers 10 miles in 2 hours, how fast is he running?"
5 miles per hour
A recipe calls for 2.25 cups of flour for 24 ounces of chocolate chips to make 5 dozen cookies. How much flour is needed for 120 ounces of chocolate chips?
7.5 cups of flour
What is the unit rate if you earn $60 for 4 hours of work?
$15 per hour
If a rectangle in a scale drawing has dimensions of 3 inches by 4 inches, what are the actual dimensions if the scale is 1 inch to 2 feet?
6 feet by 8 feet
If a recipe uses 4 cups of sugar for every 2 gallons of lemonade, what is the unit rate of sugar per gallon?
2 cups of sugar per gallon
How many cookies can be made if you have 48 ounces of chocolate chips and the recipe requires 24 ounces for 5 dozen cookies?
10 dozen
Anita read 2/5 of her book in 3 hours. How long will it take her to read half the book?
4.5 hours
If the ratio of students to teachers in a school is 20:1, how many teachers are there if there are 200 students?
10 teachers
A model of a car is 10 inches long. If the scale is 1:24, how long is the actual car?
240 inches or 20 feet
If you buy 6 oranges for $3, what is the cost per orange?
0.50 per orange
If a worker earns a total of $120 for 8 hours of work, how much does he earn per hour?
$15/hour