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3 Act Math

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Water Leak

Water Leak

Will service arrive before the tank runs out of water?

Handouts, images & videos

Act 1


  1. Will service arrive before the tank runs out of water?

  2. Write down a guess.


Note: This problem was taken 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


Sequel

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.

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