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16 November, 10:19

The function d (t) = 300,000t represents the distance (in kilometers) that light travels in t seconds.

a. How far does light travel in 15 seconds?

kilometers

b. How long does it take light to travel 12 million kilometers?

seconds.

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Answers (1)
  1. 16 November, 12:24
    0
    a. The light travels 4,500,000 kilometers in 15 seconds

    b. It takes the light 40 seconds to travel 12 million kilometers

    Step-by-step explanation:

    - The function d (t) = 300,000 t represents the distance in kilometers

    that light travel in t seconds

    a.

    - We need to find how far the light travels in 15 seconds

    ∵ d (t) = 300,000 t

    ∵ t = 15 seconds

    - Substitute the value of t in the function above

    ∴ d (t) = 300,000 (15)

    ∴ d (t) = 4,500,000 kilometers

    The light travels 4,500,000 kilometers in 15 seconds

    b.

    - We need to find how long does it takes the light to travel 12 million

    kilometers

    ∵ d (t) = 12 million kilometers = 12,000,000 km

    ∵ d (t) = 300,000 t

    - Substitute the value of d (t) in the function

    ∴ 12,000,000 = 300,000 t

    - Divide both sides by 300,000

    ∴ t = 40 seconds

    It takes the light 40 seconds to travel 12 million kilometers
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