Question

A large brine tank containing a solution of salt and water is being diluted with fresh water. The relationship between the elapsed time, t, in hours, after the dilution begins, and the concentration of salt in the tank, S(t), in grams per liter, (g/l), is modeled by the following function. S(t)=600 x e^{{-0.3t}} How many hours will it take for the concentration of salt to decrease to 100 g/l? Round your answer, if necessary, to the nearest hundredth.

Answer 1

Answer: 5.97 hours

Step-by-step explanation:

S(t) = 100

I put in 100 = 600 x e^-0.3t and it came out to be 5.97 when rounded to the nearest hundredth. It is also correct on khan academy.