Which rate is greater?
The question
A42 dollars in 7 weeksBy = 11x, y dollars and x weeksAB
Which is greater?
A 42 dollars in 7 weeks B y = 11x, y dollars and x weeks
How it works.
A42 dollars in 7 weeks
By = 11x, y dollars and x weeks
42 ÷ 7=6 per week
y = 11x, y dollars and x weeks→11 per week
A 6B 11
greater:B
- 01
These two are written in different ways, so turn each into a rate per one week first.
- 02
A: 42 ÷ 7 = 6. So A is 6 dollars per week.
- 03
B: the number in front of x, which is already a rate per one week: 11. So B is 11 dollars per week.
- 04
Now they can be compared: A is 6 and B is 11 per week, so B is greater. Notice that A had the bigger number written on it , 42, and is still slower.