The Charleston Family has a fish tank holding 10,450 ml of water. The water is leaking at a rate of 270 ml per minute.

Question

The Charleston Family has a fish tank holding 10,450 ml of water. The water is leaking at a rate of 270 ml per minute.

Part A Define the input and output in the given scenario.

Part B Write a function in function notation to model this situation.

Part C How many ml of water will be left after 10 min?

Answer 1

Part A:

Input: The initial amount of water in the fish tank (10,450 ml) and the rate of water leakage (270 ml per minute).
Output: The amount of water left in the fish tank.

Part B:
Let f(t) represent the amount of water in the fish tank after t minutes.
Then, we can write the function as:
f(t) = 10,450 - 270t

Part C:
To find the amount of water remaining after 10 minutes, substitute t = 10 into the function:
f(10) = 10,450 - 270(10)
= 10,450 - 2,700
= 7,750 ml

Therefore, there will be 7,750 ml of water left after 10 minutes.