Question Bank / Math / Linear Functions
Linear functions SAT question
Math · Algebra · Hard · Answer it here, explanation included.
The cost of renting a backhoe for up to days is for the first day and for each additional day. Which of the following equations gives the cost , in dollars, of renting the backhoe for days, where is a positive integer and ?
ExplanationShow
Choice D is correct. It's given that the cost of renting a backhoe for up to days is for the first day and for each additional day. Therefore, the cost , in dollars, for days, where , is the sum of the cost for the first day, , and the cost for the additional days, . It follows that , which is equivalent to , or .
Choice A is incorrect. This equation represents a situation where the cost of renting a backhoe is for the first day and for each additional day.
Choice B is incorrect and may result from conceptual or calculation errors.
Choice C is incorrect and may result from conceptual or calculation errors.
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 ?