The exponential models describe the population of the indicated country. A, in millions, t years after 2010. Which countries have a decreasing population? By what percentage is the population of these countries decreasing each year? Country B: A=1173.3e0.008t Country C: A=33.5e0.017t Country D: A=121.7e−0.004t Country E: A=145.7e0.002t

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The exponential models describe the population of the indicated country. A, in millions, t years after 2010. Which countries have a decreasing population? By what percentage is the population of these countries decreasing each year?  Country B: A=1173.3e0.008t  Country C: A=33.5e0.017t  Country D: A=121.7e−0.004t  Country E: A=145.7e0.002t

Durst37 · Accepted Answer

As we know that the exponential model that is decreasing is written as  A(t)=A0e−kt where, A0 is the initial population k is the proportionality constant t is time after 2010.  From the information we see that  Country D and E is of the model A0e−kt.  Hence the model for country D and E is the population is decreasing.  the population of country D is decreasing by (1−e−0.004)×100=0.4%  and the population of country E is decreasing by (1−e−0.002)×100=0.2%

godsrvnt0706 · Accepted Answer

Given query is to find the countries whosw population is decreasing.   The countries with population modal of negative exponent, will have decreasing population.   In other words in which modal power of e is negative will give us decreasing population modal.   From the given modals , company D and E are giving decreasing population modals.   Population of country D is decreasing by :   0.006×100=0.6% each year.   Population of country E is decreasing by:   0.005×100=0.5% each year.

alenahelenash · Accepted Answer

Negative exponent of population function of OD and E shows decreasing population A=P0ert the rate of growth or rate of decreasing for D rate of decreasing =0.003 Percent of decreasing =0.003×100 =0.3% For E the rate of decreasing =0.0021 Percentage of decreasing =0.0021×100 =0.21%

The exponential models describe the population of the indicated country.

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