Question Bank / Math / Nonlinear Functions
Nonlinear functions SAT question
Math · Advanced Math · Medium · Answer it here, explanation included.
A rectangular volleyball court has an area of 162 square meters. If the length of the court is twice the width, what is the width of the court, in meters?
ExplanationShow
Choice A is correct. It’s given that the volleyball court is rectangular and has an area of 162 square meters. The formula for the area of a rectangle is 
, where A is the area, 
is the length, and w is the width of the rectangle. It’s also given that the length of the volleyball court is twice the width, thus 
. Substituting the given value into the formula for the area of a rectangle and using the relationship between length and width for this rectangle yields 
. This equation can be rewritten as 
. Dividing both sides of this equation by 2 yields 
. Taking the square root of both sides of this equation yields 
. Since the width of a rectangle is a positive number, the width of the volleyball court is 9 meters.
Choice B is incorrect because this is the length of the rectangle. Choice C is incorrect because this is the result of using 162 as the perimeter rather than the area. Choice D is incorrect because this is the result of calculating w in the equation 
instead of 
.
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