Comparing rates in words
The question
Ay = 11x, y liters and x minutesB65 liters in 5 minutesAB
Which is greater?
A y = 11x, y liters and x minutes B 65 liters in 5 minutes
How it works.
Ay = 11x, y liters and x minutes
B65 liters in 5 minutes
y = 11x, y liters and x minutes→11 per minute
65 ÷ 5=13 per minute
A 11B 13
greater:B
- 01
These two are written in different ways, so turn each into a rate per one minute first.
- 02
A: the number in front of x, which is already a rate per one minute: 11. So A is 11 liters per minute.
- 03
B: 65 ÷ 5 = 13. So B is 13 liters per minute.
- 04
Now they can be compared: A is 11 and B is 13 per minute, so B is greater.