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29 November, 03:08

The length that a hanging spring stretches varies directly with the weight placed at the end of the spring. If a weight of 15lb 15⁢lb stretches a certain spring 19in. 19⁢in., how far will the spring stretch if the weight is increased to 30lb 30⁢lb? (Leave the variation constant in fraction form. Round off your final answer to the nearest in.)

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  1. 29 November, 03:38
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    Answer: the spring would be stretched by 38 inches.

    Step-by-step explanation:

    The length that a hanging spring stretches varies directly with the weight placed at the end of the spring. Let L represent the length of the spring and let w represent the weight placed at the end of the spring. Introducing a constant of variation, k, the expression would be

    L = kW

    If a weight of 15lb stretches a certain spring 19in, the expression would be

    19 = 15k

    k = 19/15

    The equation would be

    L = 19w/15

    if the weight is increased to 30lb, then the length by which the spring would be stretched is

    L = 19 * 30/15

    L = 38 inches
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