Comparing rates from a table
The question
Ay = 10x, y dollars and x weeksBx258y102540AB
A y = 10x, y dollars and x weeks B table
Which is greater?
A y = 10x, y dollars and x weeks B x: 2, 5, 8 y: 10, 25, 40
How it works.
Ay = 10x, y dollars and x weeks
Bx: 2, 5, 8 y: 10, 25, 40
y = 10x, y dollars and x weeks→10 per week
10 ÷ 2=5 per week
A 10B 5
greater:A
- 01
These two are written in different ways, so turn each into a rate per one week first.
- 02
A: the number in front of x, which is already a rate per one week: 10. So A is 10 dollars per week.
- 03
B: any column divided by its own x — 10 ÷ 2 = 5. So B is 5 dollars per week.
- 04
Now they can be compared: A is 10 and B is 5 per week, so A is greater. Notice that B had the bigger number written on it , 40, and is still slower.