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Rates/ Unit Rates
Complex Fractions
Convert Unit Rates
Proportional and Non-Proportional Relationships
100
When finding your heart rate, what 2 quantities are you comparing?
Beats and Minutes (time)
100
Simplify (1)/(1/2)
2
100
Convert 60 miles per hour to miles per minute.
1 mile per minute
100
How can we tell if a relationship is proportional or not?
If the ratios between the two quantities being compared are all equivalent, then it is a proportional relationship.
200
What is the difference between a rate and a unit rate?
Unit rates have a denominator of 1, whereas rates can have any # in the denominator.
200
Simplify (4/5)/(2)
2/5
200
If Samuel can read 2 pages in a minute, how many pages can he read in an hour?
120 pages
200
An elevator ascends, or goes up, at a rate of 750 feet per minute. Make a table to represent the height the elevator is at every minute for 4 minutes.
See board
300
If a car is traveling 80 miles per hour, how far does it travel in 2.5 hours?
200 miles
300
Write the following percent as a fraction in simplest form. 13 1/3%
2/15
300
Marvin walks at a speed of 7 feet per second. How many feet per hour is this?
25,200 feet per hour.
300
Gary sends Larry 2 letters every month. Is the relationship between the number of letters sent proportional to the number of months that have passed? Prove it.
Yes. The ratios are all 2:1
400
If it takes Barry 75 minutes to walk 5 miles, how long does it take him to walk 1 mile?
15 minutes
400
Simplify (3/8)/(2/7)
21/16 or 1 5/16
400
A person runs at a speed of 10 miles per hour. How many feet per minute is this?
880 feet per minute
400
Uptown tickets charges $7 per baseball game tickets plus a $3 processing fee. You are only charged the $3 once, no matter how many tickets you purchase. Make a table to represent this situation.
see board
500
Emma eats 6 lollipops every 4 minutes. At this rate, how many lollipops does she eat in 10 minutes?
15 lollipops
500
Simplify (1 3/5) / (2 1/4)
32/45
500
A tractor is driving down the road at 20 miles per hour. How many yards per second is this? Hint: there are 1,760 yards in a mile. Round to the nearest tenth. You may use a calculator for this question, but you still need to show your steps!
9.8 yards per second.
500
The Vista Marina rents boats for $25 per hour. In addition to the rental fee, there is a $12 charge for fuel that you pay before you take the boat out. Use a table to determine if the number of hours you rent the boat is proportional to the total cost.
No, it is not proportional