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26 February, 18:14

Suppose a and b vary inversely, and b = 8 when a = 6. Write a function that models the variation and find b when a = 30. Explain your answer.

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  1. 26 February, 18:31
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    1. If a and b vary inversely and b = 8 when a = 6:

    b = k / a

    8 = k / 6

    k = 6 * 8

    k = 48

    Function is:

    b = 48 / a

    2. When a = 30:

    b = 48 / 30 = 8/5

    b = 1.6
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