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?

To determine the slope of the line that goes through the points (3, 1.5) and (5, 2.5), we can use the formula for the slope (m) between two points \((x_1, y_1)\) and \((x_2, y_2)\):

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

For the points given:

\((x_1, y_1) = (3, 1.5)\)
\((x_2, y_2) = (5, 2.5)\)

Now we can plug these values into the slope formula:

\[
m = \frac{2.5 - 1.5}{5 - 3} = \frac{1}{2}
\]

This means that the slope of the line is 0.5, which indicates that Aaron mows 0.5 acres for every hour he spends mowing.

Now, let's analyze each statement given:

1. **It takes Aaron about 1 hour to mow 2 acres.**
- This is incorrect; the slope indicates he mows 0.5 acres in 1 hour, not 2 acres.

2. **Aaron’s rate for mowing lawns is 0.5 acres per hour.**
- This is correct; it matches the slope we calculated.

3. **The ratio of acres to time is 5 acres to 3 hours.**
- This is incorrect since that would imply Aaron mows 5/3 = 1.67 acres per hour.

4. **The rate to mow a lawn is 0.6 hours per acre.**
- This is incorrect; to find the time per acre, you can take the reciprocal of the slope (1 / 0.5 = 2 hours per acre).

Therefore, the correct statement that describes the slope of the line through the two points is:

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