The function that describes the scenario where 4 liters of water evaporates by half every hour is exponential.
Here's why:
1.Exponential Function: In this situation, the amount of water decreases by a constant factor (half) every hour. This means the amount of water at any given time can be described by an exponential decay function, where the quantity decreases by a fixed percentage (in this case, 50%) each period (each hour).
The general form of an exponential decay function is:
where:
A is the initial amount of water,
b is the decay factor (for halving, b = ),
x is the number of hours.
For this problem:
a = 4 liters (the initial amount of water),