Homework SoursePopulation growth The population y of a certain county was 1
Population growth. The population y of a certain county was 100,000 in 1990 and 182,212 in 2000. Assume the formula y=Poe^ktapplies to the growth of the county\'s population. Estimate the population of the county in 2020.
Answers
a 332012
b 1102318
c 604956
d 30119
e 16530
Answers
a 332012
b 1102318
c 604956
d 30119
e 16530
Solution
182212 = 100000 e^k t e ^kt = 1.82212 k t= ln 1.82212 k * 10 = 0.6 k = 0.06 And now y = 100000 e^ 20 *0.06 y is population in 2020 y = 100000 * 3.32012 = 332012![Population growth. The population y of a certain county was 100,000 in 1990 and 182,212 in 2000. Assume the formula y=Poe^ktapplies to the growth of the county\](/WebImages/45/population-growth-the-population-y-of-a-certain-county-was-1-1141838-1761612619-0.webp "Population growth. The population y of a certain county was 100,000 in 1990 and 182,212 in 2000. Assume the formula y=Poe^ktapplies to the growth of the county\")
