Unit Rates
Alijah makes 12 out of 15 basketball shots. Write this rate in simplest form and all 3 ways.
4/5, 4:5, 4 to 5
To make purple, mix 1 part red with 2 parts blue. If AJ uses 4 tablespoons of red and 8 tablespoons of blue, did he follow the proportion? Can scale to see if same, or simplify both.
Yes but 1 to 2
At Aldi an avocado costs $0.50. So 1/$0.50, 2/$1, 3/$1.50, 4/$2
Does the situation represent a proportional relationship or not? Find each unit rate
yes all have $0.50 for 1 avocado
Miss Nolan drove 420 miles in 6 hours. Using this rate, find the unit rates of miles per hour.
70 miles in 1 hour
Cece is filling up a fish tank and can put in 24 galloons of water in 60 seconds. If there is a leak that leaks our water at a rate of 8 gallons per 20 seconds, is this a proportional rate? (Can scale or simplify both to answer yes or no)
Yes both 2 gallons per 5 seconds
Kyaun reaches into the box of colored pencils in which there are 5 red pencils for every 4 blue pencils. Create a table for 5, 10, 15, and 20 red pencils. Find unit rate per red colored pencil of each then state is proportional relationship or not
5/4, 10/8, 15/12, 20/16
yes proportional all have unit rate of 0.8 blue to every red (or 1.25 red to each blue)
Lavey can jump 42 times in 20 seconds. At this rate how many times can she jump rope in 1 minute? (20seconds = 1/3 minute; or 60 seconds = 1 minute)
126 jumps in 1 minute
Ms. Malue's class has a ratio of 5 girls to every 4 boys. Ms. Nolan's class has a ratio of 12 girls and 15 boys. Are these Proportional (yes or no and explain/ work)
NO. 5 to 4 is not the same as 4 to 5
Each song a DJ plays last 3.5 minutes. Create a table to show how many minutes for 1, 2, 3, and 4 songs. Find each Unit Rate per song. Then state whether it represents a proportional relationship or not.
1/3.5, 2/7, 3/10.5, 4/14
yes all have unit rates of 1 to 3.5mins
Rajah can run 5/4 miles in 1/12 hour. At this rate, how far can he run 1 hour
15 miles in 1 hour
A horses mane grows 1.5 inches in 1 month. Miss Nolan's hair grows 0.25 inches in 1 week. (4 weeks = 1 month). Are these proportional
NO 1.5 inch in 1 month is not equal to 1 inch in 1 month
Angie buys 3 granola bars for $5. Jayden buys 9 granola bars for $15. What is the constant of proportionality per bar?
1.67 or 5/3 or 1 2/3
Cam throws a fastball in a baseball game. The ball moves 27/2 feet in 1/10 second. At this rate, how far will the ball travel in 1 second?
135 feet in 1 second
Izabella drinks 42 ounce of water in 1 day. In 1 week she drinks 294 ounces. Are these Proportional?
Yes they both have a ratio of 42 ounces to 1 day
Elliot can make 3-free throws in 10 seconds and 18 free throws in 1 minute. What is the constant of proportionality per second? (1 minute = 60 seconds)
0.3 or 3/10