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Answer:
(a) Amount of salt as a function of time
(b) The time at which the amount of salt in the tank reaches 50 lb is 23.5 minutes.
(c) The amount of salt when t approaches to +inf is 100 lb.
Step-by-step explanation:
The rate of change of the amount of salt can be written as
Then we can rearrange and integrate
Then we have the model of A(t) like
(b) The time at which the amount of salt reaches 50 lb is
(c) When t approaches to +infinit, the term e^(-0.02t) approaches to zero, so the amount of salt in the solution approaches to 100 lb.