Question

The Hamptons 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 to model this situation.


Part C: How many liters of water will be left in the tank after 10 minutes.?

Answer 1

A: f(x) is output; x is input

B: f(x)=10450-270x

C: f(10)=10450-270(10)=7750 ml of water

Answer 2

The output would depend on the input so relating this to the question, the input is the time (in minute) and the output is the amount of water left in the tank

We can give a letter 't' for the time, the input, and f(t) for the output

----------------------------------------------------------------------------------------------------------------

The original amount of water in the tank is 10450, so this will be the fixed constant.
The amount of water lost per minute is 270 so this will be the term that varies depends on the variable of time, we write this as 270t

The function is given f(t) = 10450 - 270t
--------------------------------------------------------------------------------------------------------------

Given, t = 10
f(10) = 10450 - 270(10)
f(10) = 7750 ml