Finding the unit rate
Julie can make 18 cookies in 5 minutes. How many cookies can she make per minute?
3.6 cookies per minute
Simon can eat 3 pizzas in 7 minutes. Matthew can eat 6 pizzas in 14 minutes. Is the relationship proportional?
Yes
42=42
A graph is proportional when it is a ________ __________ and it passes through ______________.
A graph is proportional when it is a straight line and it passes through the origin/(0,0)
A car uses 33 gallons of gas in 2 week. The equation y = 16.5x can be used to represent this situation. What is the constant of proportionality? What does the constant of proportionality represent in the context of the problem?
Constant of proportionality is 16.5
The car uses 16.5 gallons of gas in 1 week
Dylan spends 3 minutes on every math problem. How many minutes will it take him if there are 20 math problems?
60 minutes
Amy can paint 12 canvas in 4 days. How many can she paint in one day?
3 canvas per day
In a middle school, there are 6 boys for every 8 girls. In a high school there are 48 boys for every 64 girls. Is the relationship proportional?
Yes
384=384
Jay buys each pair of shoes for $45 dollars. Draw a table showing the price for 1, 2, 3, and 4 pairs of shoes.
Is the table proportional? If so, what is the constant of proportionality?
1 pair = $45
2 pairs = $90
3 pairs = $135
4 pairs = $180
Yes. The constant of proportionality is $45 for every 1 pair
Attendance at a local craft fair increased 5 times over the last 7 years. The equation y = 0.71x can be used to represent this situation. What is the constant of proportionality? What does the constant of proportionality represent in the context of the problem?
Constant of proportionality is 0.71
The attendance for the fair increased by 0.71 per year
A salt water tank uses 5 gallons for every 3 fish. How many fish fit in a 500 gallon salt water tank?
300 fish
MJ can run 5/7 miles in 2/10 of an hour. At this rate, how much can she run in an hour?
3.57 miles in an hour
Ian mixes 0.9 oz of yellow paint with 0.5 oz of blue paint to get his favorite color of green. James mixes 10 gal of blue paint with 20 gallons of yellow paint. Is the relationship proportional ?
No
9≠10
Antonio makes paintings. His first painting took him 35 minutes, but every painting after that took him 20 minutes. Draw a table showing the time it took for him to paint 1, 2, 3 and 4 paintings.
Is the table proportional? If so, what is the unit rate.
1 painting = 35 minutes
2 paintings = 55 minutes
3 paintings = 75 minutes
4 paintings = 95 minute
No, the table is not proportional.
Phill buys 300 badges for $89. Write an equation relating the total cost y to the number of badges x
y=0.29x
The slime recipe uses 3 cups glue to 2 cups borax. If Ms. A has 150 cups of glue, how many cups of borax does she need?
100 cups of borax
Theo bikes 13.5 meters in 15 minutes. At this rate, how far would he bike in an hour? (15 minutes=1/4 hour)
54 meters in one hour
The redwood tree in Ronin’s backyard grows at a rate of 15 feet in 3 years. The redwood tree in Carmen’s yard grows 50 feet in 10 year. Is the relationship proportional?
Yes
150=150
The graph shows the number of balls thrown over time. What is the constant of proportionality?
5 balls per 1 minute
Aria spends $78 at the a sushi restaurant for her family of 3. Write an equation relating the total cost y to the number of people who ate x.
y=26x
In Jeremiah's neighborhood, 5 out of 13 people wear glasses or contacts. Predict how many people wear glasses or contacts in Gabriela’s town if there are 7,367 people.
2833.46 people wear glasses or contacts
A jaguar runs 20 mi in 2/3 of an hour
A panther runs 15 mi in 2/5 of an hour
Who has the faster speed in miles per hour?
The jaguar runs 60 mi per hour
The panther runs 37.5 mi per hour
The jaguar is faster
Elizabeth can cut 2 person’s hair in 45 minutes. Rodger can cut 12 people’s hair in 6 hours. (45 minutes = 3/4 hour). Is the relationship proportional?
No
9 ≠ 14
What is the unit rate for the graph and what does it represent in the context of this problem?
The unit rate is $4/1
This means $4 for every 1 pack
Feng’s parents will allow him to play video games for 2.3 hours every 4 days. What equation can be used to model the total time y Feng can play video games in x days? How many hours can Feng play in 10 days?
Hint: only use the first two decimals when needed
y=0.57x
He can play 5.7 hours in 10 days
Mika can eat 21 animal cookies in 66 seconds. She wants to know how many seconds it would take her to eat 150 animal cookies.
It would take her 471.42 seconds LOL