Mathematics, 14.07.2019 03:00 strawberrymochi390

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? a. it takes aaron about 1 hour to mow 2 acres. b. aaron’s rate for mowing lawns is 0.5 acres per hour. c. the ratio of acres to time is 5 acres to 3 hours. d. the rate to mow a lawn is 0.6 hours per acre.

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Answer from: letsgetcookingblog

We are given coordinates (x,y) for (the time in hours it takes to mow a lawn, the area of land mowed in acres).

We have coordinates (3, 1.5) and (5, 2.5)

We know slope, formula

$Slope=\frac{y_2-y_1}{x_2-x1}$

Plugging values in slope formula, we get

$Slope=\frac{2.5-1.5}{5-3}=\frac{1}{2}$

According to problem slope is ( change in area of land mowed in acres) / (Change in time in hours).

With respect to this problem, the slope represents area of land mow in per unit time ( in an hour).

We got slope =0.5

Therefore, it takes 1 hour to move 0.5 acres.

Therefore, correct option is B option.

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

Answer from: pyrkest4688

The correct option is $\boxed{\bf option B}$ .

Further explanation:

Given:

is the time taken in hours for Aaron to mow a lawn.

is the area of land mowed in acres.

Aaron’s two points are (3,1.5) and (5,2.5) .

Slope of line:

Slope of a line is the ratio of change in -coordinate to the change in -coordinate.

Let a line passes through two points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ , then the slope of this line is calculated as follows:

$\boxed{m=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}$

Calculation:

The coordinates (x,y) is for the time in hours that takes to mow a lawn that has the area of land in acres.

Aaron’s two points that he had written are (3,1.5) and (5,2.5) .

Now, the slope of the line through these points is calculated as follows:

$\begin{aligned}m&=\dfrac{2.5-2.5}{5-3}\\&=\dfrac{1}{2}\\&=0.5\end{aligned}$

The slope of line is the change in area of land to the change of time in hours.

In this question, the slope represents the area of land mowed per unit time.

Therefore, the slope is 0.5 .

It takes Aaron hour to mow 0.5 acres of land.

Thus, $\boxed{\bf option B}$ is the correct option.

Learn more:

1. Problem about coordinates

2. What is the y-intercept of the quadratic function f(x) = (x – 6)(x – 2)?

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Coordinate geometry

Keywords: Coordinates, points, slope, line, (3, 1.5), (5, 2.5), Aaron, mow, track, time, lawn, area, acres, statement, land, coordinate geometry, equation.

Answer from: Quest

Idon’t understand this but 90

Answer from: Quest

76%

step-by-step explanation:

24% are dogs and the remaining is 76% because 100-24=76

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Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in...

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