A hot tub holding 480 gal of water begins to empty at a rate of 5 gal/min. At the same time, an empty hot tub begins to fill at a rate of 15 gal/min. Let g represent the number of gallons of water and let t represent time in minutes. The system models this situation.

How long will it take for the hot tubs to hold equal amounts of water, and how much water will that be?

g = 480 – 5t
g = 15t

It will take ? minutes for both hot tubs to hold equal amounts of water. They will each hold ? gallons.

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Question

A hot tub holding 480 gal of water begins to empty at a rate of 5 gal/min. At the same time, an empty hot tub begins to fill at a rate of 15 gal/min. Let g represent the number of gallons of water and let t represent time in minutes. The system models this situation.
 
How long will it take for the hot tubs to hold equal amounts of water, and how much water will that be?
 
g = 480 – 5t
g = 15t
   
It will take  ? minutes for both hot tubs to hold equal amounts of water. They will each hold  ? gallons.      


i give medals

coconutjj · Answer

do you know how to solve systems of equations

anonymous · Answer

nope all  blank

coconutjj · Answer

how did your teacher tell you to solve these

anonymous · Answer

im homeschooled so i dont understand how to learn with them

coconutjj · Answer

oh..

coconutjj · Answer

Well if you graph both equations letting g=y and t=x, the point where they intersect will be your solution

jim_thompson5910 · Answer

You can also use substitution

g = 480 – 5t ... start with the first equation

15t = 480 - 5t ... replace 'g' with '15t'

now solve for t

jim_thompson5910 · Answer

refresh the page if you see weird symbols show up

anonymous · Answer

ohkay, i got it know thanks guys