Question the-eq
The equation above models the number of members, M, of a gym t years after the gym opens. Of the following, which equation models the number of members of the gym q quarter years after the gym opens?
The equation above models the number of members, M, of a gym t years after the
Hard-difficulty · SAT Math · Nonlinear Functions — Function composition and evaluation. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
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, 
. This is equivalent to 
, and substituting this into the expression for M in terms of t gives .
Choices B and D are incorrect and may be the result of incorrectly using 
instead of . (Choices B and D are nearly the same since 
is equivalent to 
, which is approximately 
.) Choice C is incorrect and may be the result of incorrectly using and unnecessarily dividing 0.02 by 4.
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