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3 years ago

A tube filled with 50 quarts of water empties at a rate of 2.5 quarts per min

Mathematics

2 answers:

CaHeK987 [17]3 years ago

8 0

it will be emte in 20 hours

Debora [2.8K]3 years ago

6 0

Remark

If it does not have more water flowing in to take the place of the water flowing out, then the question can be solved by the formula below.

Formula

Total amount of water = the rate flowing out * the time to empty the container.

Givens

Amount of water = 50 quarts

Rate = 2.5 quarts / min

Solve

50 = 2.5 * t

t = 50 / 2.5

t = 20 quarts per minute. But there is a lot of possible variation to this question.

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Answer:

An equation in slope-intercept form of the line will be

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Step-by-step explanation:

The slope-intercept form of the line equation

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where m is the slope and b is the y-intercept

Given the points

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$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-1,\:-1\right),\:\left(x_2,\:y_2\right)=\left(1,\:0\right)$

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$m=\frac{1}{2}$

substituting m = 1/2 and (-1, -1) in the slope-intercept form of the line equation to determine the y-intercept

$y = mx+b$

$-1=\frac{1}{2}\left(-1\right)+b$

$-\frac{1}{2}+b=-1$

Add 1/2 to both sides

$-\frac{1}{2}+b+\frac{1}{2}=-1+\frac{1}{2}$

$b=-\frac{1}{2}$

substituting m = 1/2 and b = -1/2 in the slope-intercept form of the line equation

$y = mx+b$

$y\:=\frac{1}{2}x+\left(-\frac{1}{2}\right)$

$y\:=\frac{1}{2}x-\frac{1}{2}$

Therefore, an equation in slope-intercept form of the line will be

$y\:=\frac{1}{2}x-\frac{1}{2}$

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