Initially 10 grams of salt are dissolved into 30 liters of water. Brine with concentration of salt 3 grams per liter is added at a rate of 6 liters per minute. The tank is well mixed and drained at 6 liters per minute. Let x be the amount of salt, in grams, in the solution after t minutes have elapsed. Find a formula for the incremental change in the amount of salt, delta x, in terms of the amount of salt in the solution x and the incremental change in time delta t. delta x = ? grams Find a formula for the amount of salt, in grams, after t minutes have elapsed. x(t)= ? grams How long must the process continue until there are exactly 25 grams of salt in the tank? ? minutes

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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Initially 10 grams of salt are dissolved into 30 liters of water. Brine with concentration of salt 3 grams per liter is added at a rate of 6 liters per minute. The tank is well mixed and drained at 6 liters per minute.

Let x be the amount of salt, in grams, in the solution after t minutes have elapsed. Find a formula for the incremental change in the amount of salt, delta x, in terms of the amount of salt in the solution x and the incremental change in time delta t.

delta x = ? grams

Find a formula for the amount of salt, in grams, after t minutes have elapsed.

x(t)= ? grams

How long must the process continue until there are exactly 25 grams of salt in the tank?

? minutes

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