Hi, I need help with this quiz problem, and I want to make sure I have the corre

Question

Hi,

I need help with this quiz problem, and I want to make sure I have the correct answer.

Please see below.

Thanks a lot in advance,

Let Q(t) denote the population of a certain country at time t. In 1970, the population was 3.4 million and increasing at a rate of 2.1% per year in 1993, it was 4.9 million and increasing at 2.2% per year. In which year, 1970 or 1993 asthe rate of growth of Q with respect to t) greater? dQ dt In which year, 1970 or 1993, was--(the rate of growth of Q with respect to t) greater? Choose the correct year below. O A. 1993 O B. 1970 O C. Cannot be determined

Explanation / Answer

Ans = A - 1993

Given that

in 1970 the population was increasing at the rate of 2.1 % per year i.e. dQ/dt = 2.1 %

in 1993 the population was increasing at the rate of 2.1 % per year i.e. dQ/dt = 2.2 %

Therefore,

dQ/dt is greater in 1993.

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