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 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? 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.

Explanation:

Step1: Define slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$

Step2: Substitute given points

Points $(x_1,y_1)=(3,1.5)$, $(x_2,y_2)=(5,2.5)$
$m = \frac{2.5 - 1.5}{5 - 3} = \frac{1}{2} = 0.5$

Step3: Interpret slope meaning

Slope = $\frac{\text{acres}}{\text{hours}}$ = 0.5 acres per hour

Answer:

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