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.
The input in this scenario is the initial amount of water in the fish tank, which is 10,450 ml.
The output in this scenario is the rate of water leaking from the tank, which is 270 ml per minute.
Part B) Write a function in function notation to model this situation.
Let's call the initial amount of water in the fish tank "W" (in ml). Let's also call the rate of water leaking from the tank "L" (in ml per minute).
The function can be represented as:
f(t) = W - L*t
Where:
f(t) represents the amount of water in the fish tank at time t (in minutes),
W represents the initial amount of water in the fish tank (10,450 ml),
L represents the rate of water leaking from the tank (270 ml per minute), and
t represents the time elapsed (in minutes).
So, the function in function notation to model this situation would be:
f(t) = 10,450 - 270*t
Part C) How many ml of water will be left after 10 min?
To find out how many ml of water will be left after 10 minutes, we can substitute t = 10 into the function that models this situation.
f(t) = 10,450 - 270*t
f(10) = 10,450 - 270*10
f(10) = 10,450 - 2700
f(10) = 7750
Therefore, there will be 7,750 ml of water left after 10 minutes.