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Math Help - Rate of Change and Value.

  1. #1
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    Rate of Change and Value.

    The Value, V dollars of an artifact t years after it is purchased is modeled by the function

    V(t) = (3580+0.3t)(2+t) / √ 0.7t+3 , where V is in dollars and t > or = 0

    a) what was the purchase price of the artifact?
    b) determine the rate of change of the value of the artifact after t years
    c) Is the value of the artifact increasing or decreasing? Justify your answer
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    Quote Originally Posted by Elouche View Post
    The Value, V dollars of an artifact t years after it is purchased is modeled by the function

    V(t) = (3580+0.3t)(2+t) / √ 0.7t+3 , where V is in dollars and t > or = 0

    a) what was the purchase price of the artifact?

    that would be V(0)

    b) determine the rate of change of the value of the artifact after t years

    that would be V'(t)

    c) Is the value of the artifact increasing or decreasing? Justify your answer

    that would be determined by the sign of V'(t)
    I take it that you do know how to find a derivative, correct?
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