Q:

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

Accepted Solution

A:
The slope of the line for this case is given by:
 m = (y2-y1) / (x2-x1)
 Substituting values we have:
 m = (2.5-1.5) / (5-3)
 m = 1/2
 The slope is positive and describes the relationship between the size of the lawn in acres and the time in hours it takes to mow a lawn
 Answer:
 m = 1/2
 The slope is positive and describes the relationship between the size of the lawn in acres and the time in hours it takes to mow a lawn