Are these congruent?
2 answers:
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Answer:
Slope of this line is given by:
<em>Aaron’s rate for mowing lawns is 0.5 acres per hour</em>
Step-by-step explanation:
It is given that time is tracked by Aaron related to x coordinate.
and the area of land mowed in acres is related to y coordinate.
Two of his points are given as:
(3, 1.5) and (5,2.5)
We know that the coordinates are represented in the form of (x,y)
i.e. first coordinate represents x coordinate and
second coordinate represents y coordinate.
So, it can be observed that:
Change in x coordinate =
i.e. total time taken is 2 hours.
Change in y coordinate =
i.e. total land mowed taken is 1 acre.
In other words, <em>it takes 2 hours for Aaron to mow 1 acre of land.</em>
So, "option 1) It takes Aaron about 1 hour to mow 2 acres." is incorrect.
<u>Rate of mowing</u> lawn is the <em>land mowed by Aaron in 1 hour</em>.
Land mowed in 2 hours = 1 acre
Land mowed in 1 hours = acre i.e. 0.5 acre
Also, slope of a line is given as:
Here
As per formula:
So, option 2) Aaron’s rate for mowing lawns is 0.5 acres per hour.