SOLUTION: After operating for 20 minutes, a small pump has removed 30 gallons of water from a 9000 gallon swimming pool. There is a linear relationship between the gallons of water v reamin

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: After operating for 20 minutes, a small pump has removed 30 gallons of water from a 9000 gallon swimming pool. There is a linear relationship between the gallons of water v reamin      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 496833: After operating for 20 minutes, a small pump has removed 30 gallons of water from a 9000 gallon swimming pool. There is a linear relationship between the gallons of water v reamining in the pool and the pumping time t in minutes. find the equation for this reltionship?
Found 2 solutions by jorel1380, josmiceli:
Answer by jorel1380(3719) About Me  (Show Source):
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
After 20 min, there is +9000+-+30+=+8970+ gallons
left.
At +t+=+0+, there was +9000+ gallons in the pool
If gallons remaining is v, and
time of pumping is t, the the point-slope formula is:
+%28+v+-+8970+%29+%2F+%28+t+-+20+%29+=+%28+9000+-+8970+%29+%2F+%28+0+-+20+%29+
+%28+v+-+8970+%29+%2F+%28+t+-+20+%29+=+30+%2F+-20+
Multiply both sides by +-20%2A%28+t+-+20+%29+
+-20%2A%28+v+-+8970+%29+=+30%2A%28+t+-+20+%29+
+-20v+%2B+179400+=+30t+-+600+
+-20v+=+30t+-+180000+
+v+=+-%283%2F2%29%2At+%2B+9000+
check answer:
+v+=+8970+
+t+=+20+
+8970+=+-%283%2F2%29%2A20+%2B+9000+
+8970+=+-30+%2B+9000+
+8970+=+8970+
OK