In 1990 four towns had the same population. Since then, the population of town 1 grew by a factor of 1.02, the population of town 2 grew by. A factor of .999 per year, the population of town 3 grew by 150 people per year, and the population of town 4 grew by 200 people per year. If these growth patterns continue, which town will eventually become and remain the town with the largest population
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Question:
In 1990 four towns had the same population. Since then, the population of town 1 grew by a factor of 1.02, the population of town 2 grew by. A factor of .999 per year, the population of town 3 grew by 150 people per year, and the population of town 4 grew by 200 people per year. If these growth patterns continue, which town will eventually become and remain the town with the largest population
Answers
Answer: Town 1Step-by-step explanation:Town 1's population is growing at a factor of 1.02 which means that it is increasing by 2% a year. Town 2 is growing at a factor of 0.999 which means that it is decreasing at a rate of:= 1 - 0.999= 0.1%Town 3's population is increasing by 150 a year and town 4 is 200 people a year. Town 1 will eclipse them all eventually because it is growing proportionally at 2%. Towns 3 and 4 will eventually see 150 and 200 people fall below 2% of their town's population which means they will be growing at a slower rate than Town 1.
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