Question Bank / Math / Linear Functions
Linear functions SAT question
Math · Algebra · Hard · Answer it here, explanation included.
An object hangs from a spring. The formula relates the length
, in centimeters, of the spring to the weight w, in newtons, of the object. Which of the following describes the meaning of the 2 in this context?
ExplanationShow
Choice D is correct. The value 2 is multiplied by w, the weight of the object. When the weight is 0, the length is 30 + 2(0) = 30 centimeters. If the weight increases by w newtons, the length increases by 2w centimeters, or 2 centimeters for each one-newton increase in weight.
Choice A is incorrect because this describes the value 30. Choice B is incorrect because 30 represents the length of the spring before it has been stretched. Choice C is incorrect because this describes the value w.
Drill this skill on Aceit
Adaptive practice, a daily plan, and score tracking take a free account so we can save your work.
More Linear 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 total cost f(x), in dollars, to lease a car for 36 months from a particular car dealership is given by f(x)=36x+1,000, where x is the monthly payment, in dollars. What is the
- A window repair specialist charges $220 for the first two hours of repair plus an hourly fee for each additional hour. The total cost for 5 hours of repair is $400. Which function
- The function h is defined by hx=4x+28. The graph of y=hx in the xy-plane has an x-intercept at a,0 and a y-intercept at 0,b, where a and b are constants. What is the value of
- An economist modeled the demand Q for a certain product as a linear function of the selling price P. The demand was 20,000 units when the selling price was $40 per unit, and the de
- 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 ?