Initially 10 grams of salt are dissolved into 35 liters of water. Brine with concentration of salt 4 grams per liter is added at a rate of 5 liters per minute. The tank is well mixed and drained at 5 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, Ax, in terms of the amount of salt in the solution x and the incremental change in time At. Enter At as "Deltat". Δη = 20-Deltat grams help (formulas) Find a formula for the amount of salt, in grams, after t minutes have elapsed. t x(t) = = 140-130e 7 grams help (formulas) How long must the process continue until there are exactly 25 grams of salt in the tank? minutes help (numbers)
Initially 10 grams of salt are dissolved into 35 liters of water. Brine with concentration of salt 4 grams per liter is added at a rate of 5 liters per minute. The tank is well mixed and drained at 5 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, Ax, in terms of the amount of salt in the solution x and the incremental change in time At. Enter At as "Deltat". Δη = 20-Deltat grams help (formulas) Find a formula for the amount of salt, in grams, after t minutes have elapsed. t x(t) = = 140-130e 7 grams help (formulas) How long must the process continue until there are exactly 25 grams of salt in the tank? minutes help (numbers)
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 6ECP: The resistance of a copper wire carrying an electrical current is directly proportional to its...
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Transcribed Image Text:Initially 10 grams of salt are dissolved into 35 liters of water.
Brine with concentration of salt 4 grams per liter is added at a
rate of 5 liters per minute. The tank is well mixed and drained at
5 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, Ax, in terms of the amount of salt
in the solution x and the incremental change in time At. Enter
At as "Deltat".
Δη
=
20-Deltat grams
help (formulas)
Find a formula for the amount of salt, in grams, after t minutes
have elapsed.
t
x(t) =
=
140-130e
7 grams help (formulas)
How long must the process continue until there are exactly 25
grams of salt in the tank?
minutes
help (numbers)
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