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

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

Answer

Explanation:

Step1: Recall slope - formula

The slope formula for 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 $x$ - variable represents time in hours and the $y$ - variable represents area in acres. So the slope represents the number of acres mowed per hour.

Answer:

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