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 area of land mowed 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?
Answer
A
It takes Aaron about 1 hour to mow 2 acres.
B
Aaron’s rate for mowing lawns is 0.5 acres per hour.
C
The ratio of acres to time is 5 acres to 3 hours.
D
The rate to mow a lawn is 0.6 hours per acre.
Explanation
The slope is the change in area divided by the change in time: (2.5 − 1.5) acres ÷ (5 − 3) hours = 1 ÷ 2 = 0.5 acres per hour. So the slope describes Aaron’s mowing rate, which is 0.5 acres per hour. Choice B states this rate.
AI-written and checked against the verified answer.