Question

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.

Answer 1

The answer is "Aaron;s rate for mowing lawns is 0.5 acres per hour."
as
1.5 acres / 3 hours = 0.5 acres an hour
2.5 acres / 5 hours = 0.5 acres an hour

Answer 2

Aaron’s rate for mowing lawns is 0.5 acres per hour.

Explanation:

We are given that x denotes the time in hours it takes to mow a lawn and y denotes the size of the lawn in acres.

Now Two of his points are (3, 1.5) and (5, 2.5)

`(x_1,y_1)=(3,1.5)`

`(x_2,y_2)=(5,2.5)`

Slope :
`m=(y_2-y_1)/(x_2-x_1)`

`m=(2.5-1.5)/(5-3)`

`m=(1)/(2)`

`m=0.5`

Thus Aaron’s rate for mowing lawns is 0.5 acres per hour.

Hence Option B is correct