Question

The level of water in a dam was decreasing by 20% each day. If the level of water was 1500cm,what was the level after two days?

Answer 1

`L_o= 1500 cm`

And we know that the level is decreasing 20% each day so then we can use the following model for the problem

`L_f = L_o (1-0.2)^t`

Where t represent the number of days and L the level for this case we want to fnd the level after two days so then t =2 and replacing we got:

`L_f = 1500cm(0.8)^2 = 960cm`

Explanation:

For this case we know that the initial volume of water is:

`L_o= 1500 cm`

And we know that the level is decreasing 20% each day so then we can use the following model for the problem

`L_f = L_o (1-0.2)^t`

Where t represent the number of days and L the level for this case we want to fnd the level after two days so then t =2 and replacing we got:

`L_f = 1500cm(0.8)^2 = 960cm`