The population of the US was about 323 million in the year 2015, with an annual

Question

The population of the US was about 323 million in the year 2015, with an annual growth rate of about 0.77%. The situation is represented by the growth function P(t)=232(1.0077)^t, where t is the number of years since 2015. What will the population of the US be 2030? The population of the US was about 323 million in the year 2015, with an annual growth rate of about 0.77%. The situation is represented by the growth function P(t)=232(1.0077)^t, where t is the number of years since 2015. What will the population of the US be 2030?

Explanation / Answer

Dear Sudent Thank you for using Chegg !! Given P(t) = 232(1.077)^t Population in 2015 = 323 million Annual growth rate = 0.77% t = No of years after 2015 Now subtituting t = 0 in given equation we get population of 2015 P(0) = 232 million which shows that given data that initial population in 2015 is 323 million is wrong Option A) Equation is wrong and intial population is 323 million => P(t) = 323(1.077)^t Population in 2030 (t = 15 years) P(15) = 982.7387 million Option B) Initail Population is actually 232 million P(t) = 232(1.077)^t P(15) = 705.8681 Million Solution

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