Question

The function rule T(m)=450-8m represents the amount of water T(m) (in liters) in a holding tank after being drained at a rate of 8L/min for m minutes. how much time has passed if there are 274 L of water in the tank

A. 18 min
B. 20 min
C. 22 min
D. 24 min

if you can please explain and work it out please

Answer 1

Well they give you the equation and they want you to solve for time given that you know the amount of water in the tank. They tell you T=274 and that

T=450-8m so using the value T=274 in the equation to the left gives you:

274=450-8m subtract 450 from both sides

-176=-8m divide both sides by -8

22=m

So 22 minutes have passed when there is 274L remaining...