Instructor-created question At the beginning of the year 1995, the population of
ID: 2885823 • Letter: I
Question
Instructor-created question
At the beginning of the year 1995, the population of Townsville was 3575.
By the beginning of the year 2010, the population had reached 4784.
Assume that the population is growing exponentially, answer the following.
A) Estimate the population at the beginning of the year 2019.
ROUND TO THE NEARESTPERSON.
The population at the beginning of 2019 will be about
B) How long (from the beginning of 1995) will it take for the population to reach 9000?
ROUND TO 2 DECIMAL PLACES.
The population will reach 9000 about __ years after the beginning of 1995.
C) In what year will/did the population reach 9000?
The population will (or did) hit 9000 in the year
Instructor-created question
Explanation / Answer
a)
let x= 0 represnts year 1995, then function can be mdoeled as
f(x)= 3575*(1.0196106)^x
Substitute x= 2019 -1995 =24
f(24)= 3575*(1.0196106)^24
=5698 person
b)
3575*(1.0196106)^x =9000
(1.0196106)^x =9000/3575
x =ln(9000/3575)/ln(1.0196106)
x=47.54 years
c)
in year
1995 +47.54 =2043
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