Question

PLEASE HELP!!!!!!!!! A valve in a full 6000 gallon water tank is slowly opening. Water flows out of the tank through the valve. The flow rate in gallons per hour is given by the function f(t)=300 t^2 where t is in minutes.
How much water flows out the tank in the first 7 minutes?
How many minutes does it take for the tank to be completely empty?

Answer 1

what comes after 300 a minus or plus?

Answer 2

We know that 1h=60 minutes. But first lets replace the equation with what the question is asking us to find. As according to the problem, we need to find how much water flows out in the first 7 minutes. Furthermore, we know that 't' stands for minutes. So, why don't we replace 7 for 't' and then solve the equation. The function will also change to f(7), since 7 (as we know) replaces 't'.

Answer 3

Then you can evaluate this expression.

Answer 4

nothing comes after 300, its supposed to be 300t^2

Answer 5

So that simply means 300(7)^2. Whereas, I separated 7 into a parenthesis to indicate that this is multiplication.

Answer 6

ok

Answer 7

Do you know how to evaluate this now?

Answer 8

well I got 4,410,000

Answer 9

Wait.. Let me check.

Answer 10

Before I get to any conclusion, how did you get your answer of 4, 410, 000?

Answer 11

2100^2?

Answer 12

You were supposed to square 7, since it is t^2.

Answer 13

14,700

Answer 14

its still not the right answer

Answer 15

can you give me the options?

Answer 16

what do you mean by that?