Parcc Algebra Ii Practice Test With Answers '- 2014 Page 12
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23PARCC Algebra II Practice Test – Released April, 2014
Calculator Part (continued)
17.
The population of country A was 40 million in the year 2000 and has grown
continually in the years following. The population
, in millions, of the country
( )
years after 2000 can be modeled by the function
n , where
.
Part A
Based on the model, what was the average rate of change, in millions of people per
year, of the population of country A from 2000 to 2005? Give your answer to the
nearest hundredth.
Part B
Based on the model, the solution to the equation
gives the number of
years it will take for the population of country A to reach 50 million. What is the
solution to the equation expressed as a logarithm?
ln (
)
A.
(
)
B.
C.
ln (
)
D.
ln (
)
Part C
Based on the model, in which years will the population of country A be greater than
55 million? Select all that apply.
A. 2004
B. 2007
C. 2010
D. 2013
E. 2016
F. 2019
Part D
For another country, country B, the population
, in millions,
years after 2000
( )
can be modeled by the function
, where
. Based on the
models, what year will be the first year in which the population of country B will be
greater than the population of country A?
A. 2009
B. 2012
C. 2021
D. The population of country B will not exceed the population of country A
Page 12 of 23
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