Please help me with this , probably easy for others but i don't got energy to do it : ')
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.
something noteworthy is that the independent and squared variable in this case will be the "x", namely the graph of that quadratic is a vertical parabola.
so the parabola has solutions at x = -2 and x = 4, and its vertex will be half-way between those two guys, namely at x = 1.
since this is a vertical parabola, its axis of symmetry, the line that splits its into twin sides, will be a vertical line, and it'll be the x-coordinate of the vertex, since the vertex hasa a coordinate of x = 1, then the axis of symmetry is the vertical line of x = 1.