Question

Two cities each have a population of 1.2 million people. City A is growing by a factor of 1.14 every 10 years, while city B is decaying by a factor of 0.85 every 10 years.

sketch a graph of each town's population on the same grid.

Answer 1

City A population = 1,200,000 * 1.14^(years/10)
City B population = 1,200,000 * .85^(years/10)

City A City B
0 1,200,000 0 1,200,000
1 1,215,827 1 1,180,655
2 1,231,862 2 1,161,623
3 1,248,110 3 1,142,897
4 1,264,571 4 1,124,472
5 1,281,249 5 1,106,345
6 1,298,148 6 1,088,510
7 1,315,269 7 1,070,963
8 1,332,616 8 1,053,699
9 1,350,192 9 1,036,712
10 1,368,000 10 1,020,000

Answer 2

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