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The population of town A is 10,0000 and is increasing by 600 each year. The population of town B is 20,000 and is increasing by 400 each year. After how many years will the two towns have the same population?
S7P5A51 (Physical Change).
Pj Problem of Interest (PPI) is of type change. Problems of time (duration) and growth are generally of type change.
Let t yrs be the time it took for the population of town A to be equal to the population of town B. Then:
Population of town A after t yrs = 10,000 + 600t
Population of town B after t yrs = 20,000 + 400t.
So, 10,000 + 600t = 20,000 + 400t (since both populations are equal after t yrs)
So, 200t = 10,000
So t = 50 yrs.
So, the population of town A will be equal to the population of towne B after 50 yrs.
The point . is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.
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