Question

Two cities each have a population of 1.2 million people. City A is growing by a...

Two cities each have a population of 1.2 million people. City A is growing by a factor of 1.13 every 10 years, while city B is decaying by a factor of 0.84 every 10 years.

a. Write an exponential function for each city′s population and after t years.

PA(t) =

Edit

millions

PB(t) =

Edit

millions

b. Generate a table of values for t = 0 to t = 50, using 10-year intervals, then sketch a graph of each town's population on the same grid. [Round the answers to 3 decimal places.]

City A Pop.

City B Pop.

Year

(in millions)

(in millions)

0

1.200

1.200

10

20

30

40

50
Math   Algebra   
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