Algebra

The stopping distance D in feet for a car traveling at x miles per hour is given by d(x)= (1/12)x^2+(11/9)x. Determine the driving speeds that correspond to stopping distances between 300 and 500 feet, inclusive. Round speeds to the nearest mile per hour.

  1. 👍
  2. 👎
  3. 👁
  1. x^2/12 + 11x/9 = 300
    Multiply both sides by 36:
    3x^2 + 44x = 10800
    3x^2 + 44x - 10800 = 0
    Use Quadratic Formula:
    X = 53.1 mi/h.

    1. 👍
    2. 👎
  2. the distance d in feel that it take s an automobile to stop if it is traveling S miles per hour is given by:
    S=21d
    Find the distance it would take an automobile traveling 60mph to stop.

    1. 👍
    2. 👎
  3. The stopping distance d in feet for a car traveling at speed of s miles per hour depends on car road conditions. here are two possible stopping distance formulas: d=3s and d=0.05s^2+s. Write and solve an equation to answer the question, "for what speed(s) do the two function predict the same stopping distance

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    The table shows the number of miles driven over time. Time (hours)----------Distance (miles) 4---------------------232 6---------------------348 8---------------------464 10--------------------580 Express the relationship between

  2. Algebra 1

    The table shows the number of miles driven over time. Time|Distance 4 |184 6 |276 8 |368 10 |460 Express the relationship between distance and time in simplified form as a unit rate. Determine which statement correctly interprets

  3. Math

    the stopping distance of an automobile is directly proportional to the square of its speed v. a car required 90 feet to stop when its speed was 70 miles per hour. find a mathematical model that gives the stopping distance d in

  4. Calculus

    The total stopping distance T of a vehicle is T=2.5x+0.5x^2 where T is in feet and x is the speed in miles per hour. Approximate the change and percent change in total stopping distance as sped changes from x=25 to x=26 miles per

  1. Math

    The distance require to stop a car varies directly as the square of its speed. If 250 feet are required to stop a car traveling 60 miles per hour, how many feet are required to stop a car traveling 96 miles per hour!

  2. Physics

    You have been called to testify as an expert witness in a trial involving a head-on collision. Car A weighs 1515 lb and was traveling eastward. Car B weighs 1125 lb and was traveling westward at 45.0 mph. The cars locked bumpers

  3. Algebra Readiness

    Write and solve inequality. 17. The speed limit of a highway is 55 miles per hour. A car is traveling at least 65 miles per hour. How many miles per hour m over the speed limit is the cart traveling? (Every time I put one of these

  4. Math

    Please help me.... Two cars are starting from positions that are 20 miles apart. They are both headed for the same intersection, as depicted in the diagram below. Car A is traveling at 30 mph, and Car B is traveling at 45 mph.

  1. math

    The stopping distance (s) of a car varies directly as the square of its speed (v). If a car traveling at 50 mph requires 170 ft to stop, find the stopping distance for a car traveling at v2 = 55 mph.

  2. math

    If a car is speeding down a road at 40 (mph), how long is the stopping distance compared to the stopping distance if the driver were going at the posted speed limit of 25 ? Express your answer as a multiple of the stopping

  3. 8th grade math

    One of your friends is heading north for the Christmas holiday and the other friend is heading south. If when they start, they are 1029 miles apart and one car is traveling at 53 miles per hour, and the other 45 miles per hour,

  4. Physics

    A race car can be slowed with a constant acceleration of -11 m/s^2 a. If the car is going 55 m/s, how many meters will it travel before it stops? b. How many meters will it take to stop a car going twice as fast? According to one

You can view more similar questions or ask a new question.