Homework: Section 5.6 Homework Score: 0 of 1 pt 5.6.97 HW Score: 75%, 6 of 8 pts

Question

Homework: Section 5.6 Homework Score: 0 of 1 pt 5.6.97 HW Score: 75%, 6 of 8 pts The of a certain country in 1999 was 282 million people. In addition, the population of the Assuming that this growth rate continues, the model P(t)= 282(1 008 t-1999 represents the population P According to this model, when will the population of the country reach (a) 316 million people? (b) 359 million people? n milions of people) in year t (a) The population of the country will reach 316 million people during the year Round down to the nearest whole number as needed. 1

Explanation / Answer

P(t) = 282 ( 1.008)^t

a) 316 million

plugging P(t) = 316

316 = 282 ( 1.008)^t

t = 14.286

so, the population will reach 316 million in the year 2013

b) 359 million

359 = 282 ( 1.008)^t

359/ 282 = (1.008)^t

t = 30.29

population will reach 359 million in the year 2029

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