Two researchers are studying the decline of orangutan populations. In one study, a population of 784 orangutans is expected to decrease at a rate of 25 orangutans per year. In a second study, the population of a group of 817 orangutans is expected to decrease at a rate of 36 per year. After how many years will the two populations be the same? The two populations will be the same after ______ years

QUESTION POSTED AT 02/06/2020 - 01:40 AM

Answered by admin AT 02/06/2020 - 01:40 AM

Population 1 :784 - 25 t  ( where t stays for the years )Population 2 :817 - 36 t784 - 25 t = 817 - 36 t- 25 t + 36 t = 817 - 78411 t = 33t = 33 : 11t = 3 yearsWe can prove it:784 - 25 * 3 = 784 - 75 = 709817 - 36 * 3 = 817 - 108 = 709709 = 709Answer:The two populations will be the same after 3 years. 

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