math

There is proportional relationship between your distance from a thunderstorm and the time from when you see lightning and hear thunder. If there are 9 seconds between lightning and thunder, the storm is about 3 kilometers away. If you double the amount of time between lightning and thunder, do you think the distance in kilometers also doubles? Justify your reasoning.
THANK YOU!

  1. 👍
  2. 👎
  3. 👁
  1. since the relationship is proportional, the distance d and the time t are related by

    d = kt

    where k is a constant.

    So, if you double the time, you have

    k(2t) = 2(kt) = 2d

    so, the distance also doubles.

    Or, you can think of it like this.

    d/t = k, a constant

    If you now have 2t, you need 2d so that

    2d/2t = (2/2)(d/t) is still k.

    1. 👍
    2. 👎
  2. d=kt
    k(2*t)=2(k*t)=2*d
    3(2*9)=2(3*9)=2*d
    54=54=2*d

    d/t=k
    2*d/2*t=(2/2)(d/t)
    2*d/2(9)
    54/18
    =3 kilometers or k

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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

  2. Physics !!Check Answers!!

    1. What happens to the gravitational force between two objects if the distance between them triples? A. The force increases by a factor of 3 B. The force decreases by a factor of 9 C. The force increases by a factor of 9 D. The

  3. Lanuage

    Which relationship does the transition word because indicate? A time B comparison C cause and effect D space Use the sentence to answer the question. Before moving on to the aviary, the children spent an hour in the reptile house.

  4. Math

    School is 2 miles from home along a straight road. The table shows your distance from home as you walk home at a constant rate. Time(mins): 10-20-30 Distnce(mi)1.5-1-0.5 1)Is the relationship in the table proportional? 2)Find your

  1. physics-speed

    i need help with this one thanks A particle starts from rest and is acted on by a net force that does work at a rate that is proportional to the time t. The speed of the particle is proportional to: a. sq. root t b. t c. t^2

  2. 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

  3. Physics help quick!

    22. What does it mean for a force to act in accordance with an inverse square law? The square of the force is inversely proportional to the distance. The force decreases if the distance increases. The force is directly

  4. Math

    The following table shows a proportional relationship between w and z. w=18 and z=2. Write an equation to describe the relationship between w and z.

  1. Math

    1. Graph the points A ( -5,0) B ( -4, 3) and C ( 0, -4) A B C D 2. Identify the quadrant in which (3, -6) lies A II B IV C I D III 3. Determine which ordered pair is a solution of y = 2x - 3 A ( -2, 7) B ( 0, 3) C ( -4, -11 D ( 5,

  2. mathema

    Determine whether the graph represents a proportional relationship. (4 points) A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 15. Four points are shown on the graph on ordered pairs 0, 2 and

  3. math

    4. Which equation represents a proportional relationship? a) y=1/2x b) y=2x-2 c) y=x+1 d) y=3x+3 5. Which points are part of the graph for the previous question's equation showing a proportional relationship? this is a select all

  4. Math

    Alex rides 45 miles in 3 hours. Write an equation that shows the relationship between the distance, d and the time, t that he rides if Alex rides at a constant rate of speed? D(Distance) = 15T(Time) Is this right

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