Math115

Create a piecewise function of the following scenario where Upper D left-parenthesis t right-parenthesis is the total distance walked (in miles) as a function of time t (in minutes): “You begin a walk from your home at a fast pace of 4 miles per hour for 30 minutes. You rest for 10 minutes, and then you continue walking at a leisurely pace of 1 mile per hour for 30 minutes.

  1. 👍 0
  2. 👎 0
  3. 👁 98
asked by Brita
  1. why all the words? Just say D(t).

    I'll do the first piece. See what you can do with the rest.

    Starting from t=0, having gone 0 miles so far,
    D(t) = 0 + 4/60 (t-0) for 0 <= t <= 30
    = 1/15 t

    That may seem cumbersome, but therein lie hints for the other parts.

    1. 👍 0
    2. 👎 0
    posted by Steve
  2. where did you get the 4 over 60

    1. 👍 0
    2. 👎 0
    posted by Brita
  3. t is in minutes, and D is in miles.
    Since the speed is given in mi/hr, you have to divide that by 60 to get mi/min

    1. 👍 0
    2. 👎 0
    posted by Steve
  4. Thank You Steve I finally understand

    1. 👍 0
    2. 👎 0
    posted by Brita

Respond to this Question

First Name

Your Response

Similar Questions

  1. College Algebra

    Create a piecewise function of the following scenario where Upper D left-parenthesis t right-parenthesis is the total distance walked (in miles) as a function of time t (in minutes): “You begin a walk from your home at a fast

    asked by megan on September 17, 2016
  2. Math 115

    Create a piecewise function of the following scenario where Upper D left-parenthesis t right-parenthesis is the total distance walked (in miles) as a function of time t (in minutes): “You begin a walk from your home at a fast

    asked by George on February 15, 2018
  3. Math

    Tim’s client wants to sell her house and needs an estimate of its value. To get an initial estimate, Tim averages the sale price of similar homes in the area. He also adjusts the value of each of these homes using a multiplier

    asked by Samantha on October 31, 2017
  4. Math 115

    Create a piecewise function of the following scenario where Upper D left-parenthesis t right-parenthesis is the total distance walked (in miles) as a function of time t (in minutes): “You begin a walk from your home at a fast

    asked by George on February 15, 2018
  5. Probability and statistic

    Suppose X has an exponential distribution with mean equal to 13. Determine the following: (a) Upper P left-parenthesis x ⁢ greater-than 10 right-parenthesis (Round your answer to 3 decimal places.) (b) Upper P left-parenthesis x

    asked by Sarah on July 1, 2016
  6. Algebra

    The CarryItAll​ mini-van, a popular vehicle among soccer​ moms, obeys the demand equation ppequals=negative StartFraction 1 Over 40 EndFraction x plus 19 comma 000−140x+19,000. The cost of producing xx vans is given by the

    asked by Janice on June 22, 2015
  7. math

    Which system of inequalities is represented by the graph? A system of inequalities is graphed on a coordinate plane. One line passes through left parenthesis negative 5 comma 3 right parenthesis and left parenthesis 0 comma 8

    asked by venusthedalek on January 22, 2019
  8. Intermidiate Algebra

    While hovering near the top of a waterfall in a national park at 23042304 ​feet, a helicopter pilot accidentally drops his sunglasses. The height h left parenthesis t right parenthesish(t) of the sunglasses after

    asked by Anonymous on February 28, 2017
  9. math

    Use the formula S equals 2 left-parenthesis l w right-parenthesis plus 2 left-parenthesis l h right-parenthesis plus 2 left-parenthesis w h right-parenthesisto find the surface area of a rectangular prism with the following

    asked by kim on March 9, 2018
  10. Math

    Use the formula S equals 2 left-parenthesis l w right-parenthesis plus 2 left-parenthesis l h right-parenthesis plus 2 left-parenthesis w h right-parenthesisto find the surface area of a rectangular prism with the following

    asked by jay on April 11, 2019

More Similar Questions