aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours…

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?\nit takes aaron about 1 hour to mow 2 acres.\naarons rate for mowing lawns is 0.5 acres per hour.\nthe ratio of acres to time is 5 acres to 3 hours.\nthe rate to mow a lawn is 0.6 hours per acre.

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?\nit takes aaron about 1 hour to mow 2 acres.\naarons rate for mowing lawns is 0.5 acres per hour.\nthe ratio of acres to time is 5 acres to 3 hours.\nthe rate to mow a lawn is 0.6 hours per acre.

Answer

Explanation:

Step1: Recall slope formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 3,y_1=1.5,x_2 = 5,y_2 = 2.5$.

Step2: Substitute values

$m=\frac{2.5 - 1.5}{5 - 3}=\frac{1}{2}=0.5$. The slope represents the rate of change of the area of land mowed (in acres) with respect to time (in hours). So the rate is 0.5 acres per hour.

Answer:

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