During a drought, the water level of a lake changes -1 1/3 ft. Pwr day.Write and solve an equation to find out how long it takes for the water level to change -16 ft.

Respuesta :

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 [tex]-1\frac{1}{3}[/tex] feet per day.

Let assume number of days required for change of water level to -16ft = "x"

[tex]\text { As given that change of water level in } 1 \text { day }=-1 \frac{1}{3} \text { feet }=-\frac{4}{3} \text { feet }[/tex]

So change of water level in "x" days is:

[tex]=x \times \text { change of water level in } 1 \text { day }=x \times-\frac{4}{3}=-\frac{4}{3} x[/tex]

As we assumed that change in “x” days in water level = -16feet

[tex]\begin{array}{l}{=>-\frac{4}{3} x=-16} \\\\ {=>x=\frac{-16 \times 3}{-4}=12 \text { days }}\end{array}[/tex]

Hence it takes 12 days for the water level to change -16 feet

Answer:

12 days for the water level to change -16 feet

Ste-3.2x=-16p-by-step explanation: