H varies directly to the cube of c. When H = 40, C = 2. (a) Express H in terms of c.

Question

H varies directly to the cube of c.
When H = 40, C = 2.
(a) Express H in terms of c.

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Thiên Di 5 years 2021-09-01T06:57:20+00:00 1 Answers 357 views 1

Answers ( )

  1. thucuc
    0
    2021-09-01T06:58:36+00:00
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    Answer:

    H in terms of c is H = 5c³.

    Step-by-step explanation:

    Given that:

    H = 40 and c = 2

    H varies directly to the cube of c.

    Which means that,

    H ∝ c³

    Let,

    k be the proportionality constant.

    H = kc³

    Putting H=40 and c=2

    40=k(2)^3\\40=k(8)\\40=8k\\8k=40

    Dividing both sides by 8,

    \frac{8k}{8}=\frac{40}{8}\\k=5

    Now,

    H in terms of c.

    H = 5c³

    Hence,

    H in terms of c is H = 5c³.

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