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?

Answer 1

Answer:

2 acres/hour

Step-by-step explanation:

Please share the possible answer choices.  Thank you.

If two points on this straight line graph are (3, 1.5) and (5, 2.5), then we can find the slope of this line as follows:

As we move right from x = 3 to x = 5, x (the "run") increases by 2 and y (the "rise") increases by 1.  Thus, the slope of this line is m = rise / run = 2/1, or

m = 2.

                                                                    area mowed

The units of measurement here are m = ----------------------

                                                                     time spent

and so we could conclude that the rate is 2 acres per hour.

Answer 2

Answer:

The answer is B

Step-by-step explanation:

Well, the slope is 1/2 (2.5-1.5, and 5-3) But you now need to divide 1/2. This will get you 0.5 acres per hour. That is the rate.