Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Question 12.12. In 2010, the population of a city was 65,903. It was expected to grow at a rate of 0.7% each year.

What is best prediction for the city’s population in 2027?
(Points : 5)
66,364
74,200
82,119
112,035


Sagot :

[tex]y=Ce^{kx}[/tex]

k=0.7%=0.007

[tex]65903=Ce^{.007(0)} \\ 65903=Ce^0 \\ 65903=C(1) \\ C = 65903[/tex]

[tex]y=65903e^{0.007(2027-2010)}\\y=65903e^0.229 \\ y = 74231.157[/tex]

The best answer is 74,200