Parcc Algebra Ii Practice Test With Answers '- 2014 Page 20
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23PARCC Algebra II Practice Test – Released April, 2014
Calculator Part (continued)
26.
When approximating the age of an artifact that is less than 40,000 years old, the
radioisotope carbon-14 can be used. Carbon-14 is an element with the property that
every 5,730 years the mass of the element in a sample is reduced by half.
The mass of carbon-14 in an artifact can be modeled by an exponential function,
,
of its age .
Part A
Let
represent the original mass of carbon-14. Which function is the appropriate
model?
( )
( )
A.
B.
( )
( )
C.
D.
Part B
Based on the situation, which interval represents the domain of the function
?
A.
B.
C.
D.
Part C
Which statements describe the graph of
in the coordinate plane? Select all that apply.
A.
The function
is a linear function.
B.
The function
is a nonlinear function.
C.
The function
is an increasing function.
D.
The function
is a decreasing function.
E.
The function
is a periodic function.
Part D
At what age would the mass of the carbon-14 in an artifact be one-fourth the
original amount?
A.
1,432.5 years old
B.
2,865 years old
C.
11,460 years old
D.
22,920 years old
Page 20 of 23
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