Question Bank / Math / Nonlinear Functions
Nonlinear functions SAT question
Math · Advanced Math · Hard · Answer it here, explanation included.
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?
ExplanationShow
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.
Drill this skill on Aceit
Adaptive practice, a daily plan, and score tracking take a free account so we can save your work.
More Nonlinear functions questions
- A rectangle has a length that is 15 times its width. The function y=15ww represents this situation, where y is the area, in square feet, of the rectangle and y>0. Which of the fo
- The quadratic function h is defined as shown. In the xy-plane, the graph of intersects the x-axis at the points and , where t is a constant. What is the value of t ?
- The function f is defined by f(x)=(-8)(2)x+22. What is the y-intercept of the graph of y=f(x) in the xy-plane?
- All values are approximate. The parabola opens downward. The vertex of the parabola is at (0.6 comma 5.5). The parabola passes through the following points: (0.0 comma 3.8) (0.6 c
- fx=9,0000.66x The given function f models the number of advertisements a company sent to its clients each year, where x represents the number of years since 1997, and 0≤x≤5. If
- The first term of a sequence is 9 . Each term after the first is 4 times the preceding term. If w represents the n th term of the sequence, which equation gives w in terms of n