algebra word problem help

Question

flexastexas · Answer

Suppose someone opens the valve on a large water tank so that water drains out. Choose a starting volume of water in the tank (from 100 to 500 gallons), and choose how much water drains out each day (from 2 to 5 gallons). Write the equation that models the relationship between time (x) and water volume (y) in slope-intercept form.

Post your equation. Choose another equation from the discussion board and answer the following. 
•	Write the equation in slope-intercept form, and use the equation to find the amount of water in the tank exactly 2 days after the valve is opened.
•	Determine the slope of the line. Describe the meaning of the slope in this context.
•	Rewrite the equation in standard form, and use that equation to find thex- and y-intercepts. Describe the meaning of each intercept.
•	Do these equations represent an exact or approximate relationship between time and volume? This could be a matter of opinion. What is your opinion? Explain.
Since I chose 300 as the amount of water in the tank and 5 the amount of water that leaks out per day, my equation will become. Y = 300 – 5x
Y = 300 – 5x
Y = 300 – 5(2)
Y = 300 – 10
Y = 290 gallons in the tank after 2 days of it leaking 5 gallons a day

anonymous · Answer

Is it a problem or Speech?? :P

flexastexas · Answer

no its a problem but this is the first time i used this website. so i didnt knw it was gonna turn out like that.this is what i have done so far

 Since I chose 300 as the amount of water in the tank and 5 the amount of water that leaks out per day, my equation will become. 

Y = 290 gallons in the tank after 2 days of it leaking 5 gallons a day

flexastexas · Answer

and i need these 
	
Write the equation in slope-intercept form, and use the equation to find the amount of water in the tank exactly 2 days after the valve is opened.
	Determine the slope of the line. Describe the meaning of the slope in this context.
	Rewrite the equation in standard form, and use that equation to find the x- and y-intercepts. Describe the meaning of each intercept.
	Do these equations represent an exact or approximate relationship between time and volume? This could be a matter of opinion. What is your opinion? Explain.

anonymous · Answer

I get you till here:

$y = 300 - 5x$

After $2$ days, you will have $290$ gallons.. :)

anonymous · Answer

Okay, this is your first part and you have done it successfully, Okay??

anonymous · Answer

You can write that equation as : $y = -5x + 300$

A Slope-Intercept Form is given by : $y = mx + c$

Where $m$ is the slope and $c$ is the y-intercept meaning the where the line cuts $y-axis..$

anonymous · Answer

Can you compare the tow equations and tell me what is your slope??

anonymous · Answer

*two

flexastexas · Answer

I dont get it :(

anonymous · Answer

See, the general equation of Slope-Intercept is given by : $y = mx + c$

Here, $m$ is the slope, and $c$ is the y-intercept..

Getting till here??

anonymous · Answer

Don't worry, you will find when I am here.. :P

anonymous · Answer

Are you getting the general form of slope-intercept equation??

anonymous · Answer

See, if you are not getting anything anywhere, ask me there itself, but do interact with me.. I am missing your reply when you don't do here.. :P

flexastexas · Answer

i get that y=mx+c 

so if thats the case 
y=-5x+300
soo what next

anonymous · Answer

Compare those two equations, there $x$ is common, $y$ is also common in both, $c = 300$ in other equation, likewise what is $m$ in our original equation?

anonymous · Answer

Let us see my drawing is good enough to make you understand what I am saying:

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