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Linear Functions

Math · Algebra · 87 questions · every one comes with a full explanation.

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  1. 1The 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 theEasy · Algebra
  2. 2All 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 cEasy · Advanced Math
  3. 3The front of a roller-coaster car is at the bottom of a hill and is 15 feet above the ground. If the front of the roller-coaster car rises at a constant rate of 8 feet per second, Easy · Algebra
  4. 4Moving from left to right: The curve passes from quadrant 3 to quadrant 4. In quadrant 3, the curve trends up sharply to point (0 comma negative 5). In quadrant 4, the curve trendEasy · Advanced Math
  5. 5If f is the function defined by , what is the value of ?Easy · Algebra
  6. 6The parabola opens upward. The parabola passes through the following points: (0 comma 0) (3 comma negative 12) (6 comma 0) Scientists recorded data about the ocean water levels aEasy · Advanced Math
  7. 7d = 16 t The given equation represents the distance d , in inches, where t represents the number of seconds since an object started moving. Which of the following is the bEasy · Algebra
  8. 8The function f is defined by f(x)=4+x. What is the value of f144?Easy · Advanced Math
  9. 9The function g is defined by gx=6x. For what value of x is g(x)=54 ?Easy · Algebra
  10. 10The number y is 84 less than the number x . Which equation represents the relationship between x and y ?Easy · Algebra
  11. 11The function f is defined by the equation fx=7x+2. What is the value of fx when x = 4 ?Easy · Algebra
  12. 12The parabola opens upward. The vertex is at point (7 comma 0). The parabola passes through the following points: (6 comma 3) (7 comma 0) (8 comma 3) The x-intercept of the graph Easy · Advanced Math
  13. 13The table shown includes some values of x and their corresponding values of y. Which of the following graphs in the xy-plane could represent the relationship between x and y ?Easy · Advanced Math
  14. 14The function g is defined by . What is the value of ?Easy · Algebra
  15. 15The function f is defined by fx=4x. For what value of x does fx=8?Easy · Algebra
  16. 16The function f is defined by fx=16x. What is the value of fx when x = 3 ?Easy · Advanced Math
  17. 17According to the graph, what is the cost for each additional mile traveled, in dollars, of a cab ride?Easy · Algebra
  18. 18Moving from left to right: The curve passes from quadrant 2 to quadrant 1. In quadrant 2, the curve trends up gradually to point (0 comma 2). In quadrant 1, the curve trends up shEasy · Advanced Math
  19. 19The parabola opens upward. The vertex is at point (4 comma 0). The parabola passes through the following points: (3 comma 5) (4 comma 0) (5 comma 5) What is the x-intercept of thEasy · Advanced Math
  20. 20The graph shown models the number of candy bars a certain machine wraps with a label in x seconds. Easy · Algebra
  21. 21For the first curve: Moving from left to right: The curve passes from quadrant 2 to quadrant 1. In quadrant 2, the curve trends up gradually to point (0 comma 3). In quadrant 1,Easy · Advanced Math
  22. 22Sean rents a tent at a cost of $11 per day plus a onetime insurance fee of $10. Which equation represents the total cost c , in dollars, to rent the tent with insurance for d daysEasy · Algebra
  23. 23Some values of the linear function f are shown in the table above. Which of the following defines f ?Easy · Algebra
  24. 24If , what is ?Easy · Advanced Math
  25. 25A bus is traveling at a constant speed along a straight portion of road. The equation d = 30 t gives the distance d , in feet from a road marker, that the bus will be t Easy · Algebra
  26. 26The cost y , in dollars, for a manufacturer to make x rings is represented by the line shown. The line slants gradually up from left to right. The line passes through the followiEasy · Algebra
  27. 27The function h is defined by hx=3x-7. What is the value of h-2?Easy · Algebra
  28. 28x f(x) 0 29 1 32 2 35 For the linear function f , the table shows three values of x and their corresponding values of f(x). Which equation defines f(x)?Easy · Algebra
  29. 29For the function f defined above, what is the value of ?Easy · Advanced Math
  30. 30Moving from left to right: The curve passes from quadrant 2 to quadrant 1. In quadrant 2, the curve trends up gradually to point (0 comma 8). In quadrant 1, the curve trends up shEasy · Advanced Math
  31. 31For a training program, Juan rides his bike at an average rate of 5.7 minutes per mile. Which function m models the number of minutes it will take Juan to ride x miles at this rEasy · Algebra
  32. 32A ball is dropped from an initial height of 22 feet and bounces off the ground repeatedly. The function h estimates that the maximum height reached after each time the ball hits Easy · Advanced Math
  33. 33Moving from left to right: The curve passes from quadrant 3 to quadrant 4. In quadrant 3, the curve trends up sharply to point (0 comma negative 6). In quadrant 4, the curve trendEasy · Advanced Math
  34. 34The function f is defined by fx=x3+9. What is the value of f2?Easy · Advanced Math
  35. 35For the function f , the graph of y=f(x) in the xy-plane has a slope of 3 and passes through the point 0,-8. Which equation defines f ?Easy · Algebra
  36. 36Which of the following does 45 represent in the equation?Easy · Algebra
  37. 37The function f(x)=200,0001.21x gives a company's predicted annual revenue, in dollars, x years after the company started selling light bulbs online, where 0<x≤10. What is the bestEasy · Advanced Math
  38. 38s=40+3t The equation gives the speed s , in miles per hour, of a certain car t seconds after it began to accelerate. What is the speed, in miles per hour, of the car 5 seconds aEasy · Algebra
  39. 39In the equation above, T represents Brittany's total take-home pay, in dollars, for her first week of work, where h represents the number of hours she worked that week and 1,000 reEasy · Algebra
  40. 40The function is defined as , where a is a constant. If , what is the value of a ?Easy · Algebra
  41. 41The function f is defined by f(x)=6+x. What is the value of f36?Easy · Advanced Math
  42. 42The quadratic function graphed above models a particular measure of plant diversity as a function of the elevation in a region of Switzerland. According to the model, which of the Easy · Advanced Math
  43. 43The function f is defined by the equation fx=100x+2. What is the value of fx when x = 9 ?Easy · Algebra
  44. 44The function g is defined by gx=x2+9. For which value of x is gx=25?Easy · Advanced Math
  45. 45The function f is defined as shown. Which of the following graphs in the xy-plane could be the graph of ?Easy · Advanced Math
  46. 46On January 1, 2015, a city's minimum hourly wage was $9.25. It will increase by $0.50 on the first day of the year for the next 5 years. Which of the following functions best modelEasy · Algebra
  47. 47The length, y , of a white whale was 162 centimeters cm when it was born and increased an average of 4.8 cm per month for the first 12 months after it was born. Which equation besEasy · Algebra
  48. 48The function f is defined by fx=110x-2. What is the y-intercept of the graph of y=fx in the xy-plane?Easy · Algebra
  49. 49In the linear function h , h(0)=41 and h(1)=40. Which equation defines h ?Easy · Algebra
  50. 50Hana deposited a fixed amount into her bank account each month. The function ft=100+25t gives the amount, in dollars, in Hana's bank account after t monthly deposits. What is the Easy · Algebra
  51. 51The function f is defined by fx=5x+8. For what value of x does fx=58?Easy · Algebra
  52. 52The function h is defined by hx=x+200. What is the value of h50?Easy · Algebra
  53. 53The function f is defined by fx=8x. For what value of x does fx=48?Easy · Advanced Math
  54. 54The function f is defined by fx=x3+15. What is the value of f2?Easy · Advanced Math
  55. 55In quadrant 3, the curve rises to its maximum at point (0 comma negative 3). In quadrant 4, the curve then falls. The graph of the polynomial function f , where y=fx, is shown. ThEasy · Advanced Math
  56. 56The graph of the function f is a line in the xy-plane. If the line has slope and , which of the following defines f?Easy · Algebra
  57. 57Oxygen gas is placed inside a tank with a constant volume. The graph shows the estimated temperature y , in kelvins, of the oxygen gas when its pressure is x atmospheres. Easy · Algebra
  58. 58The function f is defined by fx=5x2. What is the value of f8?Easy · Advanced Math
  59. 59Robert rented a truck to transport materials he purchased from a hardware store. He was charged an initial fee of $20.00 plus an additional $0.70 per mile driven. If the truck was Easy · Algebra
  60. 60hx=x2-3 Which table gives three values of x and their corresponding values of hx for the given function h ?Easy · Advanced Math