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12 July, 05:11

The number y of raccoons in an area after x years can be modeled by the function y = 0.4x^2+2x+2. When were there about 50 raccoons in the area. Round your answer to the nearest year

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  1. 12 July, 08:41
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    9 years.

    Step-by-step explanation:

    For 50 raccoons the equation is

    0.4x^2+2x+2 = 50

    0.4x^2+2x - 48 = 0

    x = [-2 + / - sqrt (2^2 - 4 * 0.4 * (-48) ] / (2*0.4)

    = (-2 + / - sqrt 9) / 0.8

    = 8.74, - 13.75 (ignore the negative).

    So it's 9 years.
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