Water Leak

3 Act Math

Act 1

  1. Will service arrive before the tank runs out of water?
  2. Write down a guess.

Note: I took this problem from the released 2016 Calculus AB AP exam. I honestly can’t remember Calculus, so feel free to suggest needed improvements!

Also, here are sample responses from College Board in case you’re interested.

Act 2

3. What information would be useful to figure this out?
4. Write down some questions you have in your head right now.

Act 3


5. For 0 ≤ t ≤ 8, is there a time t when the rate at which water is pumped into the tank is the same as the rate at which water is leaking from the tank? Explain.