Population Growth of Nevada. In 2012, the population of Nevada was 2,758,931. It had grown from a population of 1,998,257 in 2000. Assume that the population growth increases according to an exponential growth function. Source: U.S. Census Bureau Let t = 0 correspond to 2000 and t = 12 correspond to 2012. Then t is the number of years since 2000. Use the data points (0, 1,998,257) and (12, 2, 758, 931) to find the exponential growth function P ( t ) = P 0 e k t to the data, where P ( t ) is the population on Nevada t years after 2000. Use the function found in part (a) to predict the population of Nevada in 2015. If growth continues at this rate, when will the population reach 3.5 million?
Population Growth of Nevada. In 2012, the population of Nevada was 2,758,931. It had grown from a population of 1,998,257 in 2000. Assume that the population growth increases according to an exponential growth function. Source: U.S. Census Bureau Let t = 0 correspond to 2000 and t = 12 correspond to 2012. Then t is the number of years since 2000. Use the data points (0, 1,998,257) and (12, 2, 758, 931) to find the exponential growth function P ( t ) = P 0 e k t to the data, where P ( t ) is the population on Nevada t years after 2000. Use the function found in part (a) to predict the population of Nevada in 2015. If growth continues at this rate, when will the population reach 3.5 million?
Solution Summary: The author calculates the exponential growth rate for the population of Nevada t years after 2000.
Population Growth of Nevada. In 2012, the population of Nevada was 2,758,931. It had grown from a population of 1,998,257 in 2000. Assume that the population growth increases according to an exponential growth function.
Source: U.S. Census Bureau
Let
t
=
0
correspond to 2000 and
t
=
12
correspond to 2012. Then t is the number of years since 2000. Use the data points (0, 1,998,257) and (12, 2, 758, 931) to find the exponential growth function
P
(
t
)
=
P
0
e
k
t
to the data, where
P
(
t
)
is the population on Nevada t years after 2000.
Use the function found in part (a) to predict the population of Nevada in 2015.
If growth continues at this rate, when will the population reach 3.5 million?
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