Solve the problem.According to a country's census, the population (to the nearest million) was 264 in Year 0 and 288 in Year 10. The projected population for Year 50 is 434. To construct a logistic model, both the growth and carrying capacity must be estimated. (a) Estimate r by assuming that t = 0 corresponds to Year 0 and that the population between Year 0 and Year 10 is exponential; that is, the population is given by Round the value of r to four decimal places, if necessary.(b) Write the solution to the logistic equation using the estimated value of r and use the projected value P(50) = 434 million to find an estimation for the value of the carrying capacity K. Round to

Question

the nearest million.

A. (a) r = -1.0087
(b) K = 254 million
B. (a) r = 0.0087
(b) K = -2390 million
C. (a) r = 1.0087
(b) K = -2290 million
D. (a) r = -0.0087
(b) K = 154 million

Answer 1

Answer: B