Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a lawn, and y, the size of the lawn in acres. Two of his points are (3, 1.5) and (5, 2.5). Which statement describes the slope of the line through these two points?
It takes Aaron about 1 hour to mow 2 acres.
Aaron’s rate for mowing lawns is 0.5 acres per hour.
The ratio of acres to time is 5 acres to 3 hours.
The rate to mow a lawn is 0.6 hours per acre.
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On the vertical axis (y-axis), we have size in acres
On the horizontal axis, (x-axis), we have time in hours
Slope = Δy/Δx
..and it gives the rate in acres per hour
Slope = (2.5 - 1.5) / (5 - 3)
= 1/2 = 0.5
⇒ he does 0.5 acre per hour
The correct answer is:
Aaron’s rate for mowing lawns is 0.5 acres per hour.
On the horizontal axis, (x-axis), we have time in hours
Slope = Δy/Δx
..and it gives the rate in acres per hour
Slope = (2.5 - 1.5) / (5 - 3)
= 1/2 = 0.5
⇒ he does 0.5 acre per hour
The correct answer is:
Aaron’s rate for mowing lawns is 0.5 acres per hour.
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