It takes 12 days for the water level to change -16 feet
Solution:
Given that
During a drought, the water level of a lake changes
feet per day.
Let assume number of days required for change of water level to -16ft = "x"
![\text { As given that change of water level in } 1 \text { day }=-1 (1)/(3) \text { feet }=-(4)/(3) \text { feet }](https://img.qammunity.org/2020/formulas/mathematics/high-school/zxdfbmfvzf1v1oni5w4rjvjn6gkr9ovex3.png)
So change of water level in "x" days is:
![=x * \text { change of water level in } 1 \text { day }=x *-(4)/(3)=-(4)/(3) x](https://img.qammunity.org/2020/formulas/mathematics/high-school/vnu0irxll7nz83femi6scl6xyt8amsox50.png)
As we assumed that change in “x” days in water level = -16feet
![\begin{array}{l}{=>-(4)/(3) x=-16} \\\\ {=>x=(-16 * 3)/(-4)=12 \text { days }}\end{array}](https://img.qammunity.org/2020/formulas/mathematics/high-school/zt4i3ov989ztguz23eqrtawmso4ymmnwl9.png)
Hence it takes 12 days for the water level to change -16 feet