a. The rate of change of x is proportional to x. When t = 0, x0 = 3 and when t= 2, x = 6. What is the value of x when t = 4?
b. Initially, there are 1 million bacteria present in a Petri dish. After 2 minutes, there are already 5 million of them. If the bacterial population follows a law of natural growth, how many bacteria should be present in the Petri dish after 5 minutes?
c. Consider the constant rate of depreciation value of a certain car. You bought a car amounting to 1.5 million USD. After 2 years, the value decreased to 1.2 million USD. If the amount of the car is directly proportional to the constant rate of decay in amount and such decrease in amount continues at the same rate, then how much is the estimated value of the car after 10 years?
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