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Do Homework- Laura Diaz Valdez - Mozilla Firefox https://www.mathxl.com/Student/PlayerHomework.aspx?homeworkId-429872372&questionld;=1&flushedafalse;&cld;=4488533&centerwin-yes; 110% College Algebra Summer 2017 Section 40 Laura Diaz Valdez | 7/11/17 10:30 PM Homework: Section 4.2 Save Score: 1 of 2 pts 12 of 12 (12 complete) HW Score: 95%, 19 of 20 pts &4.2.135 Question Help * The population of a city doubled from 1950 to 1985, going from 2.5 million to 5 million people. Using the exponential model, P- Po e, where P is population, Po is initial population, and t is time in years, find the annual growth rate r tor that period Although the annual growth rate has declined slight to 1.74% annually, the population of the cit is still growing at a tremendous rate using the initial population of 5 million in 1985 and an annual rate of 1.74%, estimate the population of the city in the year 2010 The annual growth, r, between 1950 and 1985 was 1.98 %. (Round to two decimal places as needed.) million people The population of the city in the year 2010 should be about (Round to one decimal place as needed.) Enter your answer in the answer box and then click Check Answer All parts showing Clear All Check Answer 10:30 PM Type here to search ^ E] d, 7/11/2017

Explanation / Answer

P = Po e^rt

initial population = 2.5 million

final population = 5 million

population doubled in 1985 - 1950 = 35 years

5 = 2.5 e^ 35r

5 / 2.5 = e^35r

ln 2 = 35r

r = 0.0198

annual growth rate is 1.98%

b) annual growth rate is 1.74%

P= Po e^rt

from 1985 - 2010 , years elapsed = 25 years

plugging t = 25

P = 5 e^.0174(25)

P = 7.7 million

population in 2010 should be 7.7 million

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