(a) Choose the correct process to find how fast the population is growing when it reaches 10 million people. O A. Evaluate P'(t) = 0.04(10). B. Evaluate P'(t) = 0.04P(10). C. Solve 10 =0.04P(t) for P(t). D. Solve P'(10) = 0.04P(t) for P(t).

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Let P(t) be the population (in millions) of a certain city t years after 2015, and suppose that P(t) satisfies the differential
equation P'(t) = 0.04P(t), P(0) = 7.
(a) Use the differential equation to determine how fast the population is growing when it reaches 10 million people.
(b) Use the differential equation to determine the population size when it is growing at a rate of 600,000 people per
year.
(c) Find a formula for P(t).
(a) Choose the correct process to find how fast the population is growing when it reaches 10 million people.
A. Evaluate P'(t) = 0.04(10).
B. Evaluate P'(t) = 0.04P(10).
C. Solve 10 =0.04P(t) for P(t).
D. Solve P'(10) = 0.04P(t) for P(t).
Transcribed Image Text:Let P(t) be the population (in millions) of a certain city t years after 2015, and suppose that P(t) satisfies the differential equation P'(t) = 0.04P(t), P(0) = 7. (a) Use the differential equation to determine how fast the population is growing when it reaches 10 million people. (b) Use the differential equation to determine the population size when it is growing at a rate of 600,000 people per year. (c) Find a formula for P(t). (a) Choose the correct process to find how fast the population is growing when it reaches 10 million people. A. Evaluate P'(t) = 0.04(10). B. Evaluate P'(t) = 0.04P(10). C. Solve 10 =0.04P(t) for P(t). D. Solve P'(10) = 0.04P(t) for P(t).
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