Sat practice Test #8 Answer Explanations

Choice A is correct. In 1 year, there are 4 quarter years, so the number 
of quarter years, q, is 4 times the number of years, t ; that is, q = 4t. 
This is equivalent to t =
q
_ 
4 , and substituting this into the expression for 
M in terms of t gives M = 1,800(1.02) 
q
_ 
4
.
Choices B and D are incorrect and may be the result of incorrectly 
using t = 4q. In choice D, 1.02
4q
= 1.02
4(q)
, which is approximately 
1.082
q
. Choice C is incorrect and may be the result of incorrectly using 
t = 4q and unnecessarily dividing 0.02 by 4.
QUESTION 24
Choice D is correct. It is given that Contestant 2 earned 70% of the 
votes cast using social media and 40% of the votes cast using a text 
message. Based on this information, viewers voting by social media 
were more likely to prefer Contestant 2 than were viewers voting by 
text message.
Choices A, B, and C are incorrect. There is not enough information 
about the viewers to reach these conclusions.

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ANSwER ExPlANATIONS
| SAT Practice Test #8
QUESTION 25
Choice A is correct. It is given that the relationship between
population and year is linear; therefore, the function that models
the population t years after 2000 is of the form P (t) = mt + b,
where m is the slope and b is the population when t = 0.
In the year 2000, t = 0. Therefore, b = 862. The slope is given by
m =
P(10) − P(0)
__ 
10 − 0 =
846 − 862 
_
10 − 0 =
−16 
_ 
10 = −1.6. Therefore, P (t) = −1.6t + 862, 
which is equivalent to the equation in choice A.
Choice B is incorrect and may be the result of incorrectly calculating 
the slope as just the change in the value of P. Choice C is incorrect 
and may be the result of the same error as in choice B, in addition to 
incorrectly using t to represent the year, instead of the number of years 
after 2000. Choice D is incorrect and may be the result of incorrectly 
using t to represent the year instead of the number of years after 2000.
QUESTION 26