SOLUTION: The population of a town increased by 2.63% per year from 2000 to 2010. The town's population at the beginning of 2000 was 74,740. a. What was the 1-year growth factor for the

Algebra.Com
Question 1124422: The population of a town increased by 2.63% per year from 2000 to 2010. The town's population at the beginning of 2000 was 74,740.
a. What was the 1-year growth factor for the town's population?
b. Write a formula for function f that models the town's population in terms of the number of years t since the beginning of 2000.
f(t)=
c. Determine the town's population at the beginning of 2010. Round your answer to the nearest whole number.

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
For one year it is 1.0263
population would be Population=74740(1.0263)^t
For t=10, the population is 74740*1.0263^10=74740*1.296,
rounding only at the end, the population would be 96,894 to the nearest whole number.

RELATED QUESTIONS

The population of a town increased by 2.72% per year from 2000 to 2010. The town's... (answered by josmiceli)
In 2003, a town’s population was 1431. By 2007 the population had grown to 2134. Assume (answered by Boreal)
The growth in population of a town since 2000 is given, in thousands, by the function... (answered by jorel1380)
The growth in population of a town since 2000 is given, in thousands, by the function... (answered by jorel1380)
The population of a town is modelled by P(t) = -t^2 + 12t + 4, where P(t) is the number... (answered by jim_thompson5910)
I have no idea how to solve this? The population of a small town is given by the... (answered by Fombitz)
In 2000, the population of Town A was 9,400 and the population of Town B was 7,600.... (answered by briannadee)
I need help for this problem please. Population y of one town x years after the year... (answered by KMST)
A town has a population growth rate of 10% per year. The population in 1990 was 2000.... (answered by stanbon)