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) = 500. e-0.25t

What will the concentration of salt be after 10 hours?

Round your answer, if necessary, to the nearest hundredth.

Question

Mathematics

Matteo Golden

4 April, 15:46

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) = 500. e-0.25t

What will the concentration of salt be after 10 hours?

Round your answer, if necessary, to the nearest hundredth.

+3

Answers (1)

Know the Answer?

Annie Tyler · Answer 1

41.04 g/L

Step-by-step explanation:

The relationship is modeled by the following function:

S (t) = 500*e^ (-0.25*t)

where t is time elapsed after the dilution begins (in hours) and S (t) the concentration of salt in the tank (in g/L)

Replacing with t = 10

S (t) = 500*e^ (-0.25*10)

S (t) = 41.04 g/L