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The length that a hanging spring stretches varies directly with the weight placed at the end of the spring. If a weight of 12lb stretches a certain spring 16in., how far will the spring stretch if the weight is increased to 35lb? (Leave the variation constant in fraction form. Round off your final answer to the nearest in.)

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sqdancefan

9514 1404 393

Answer:

  47 inches

Step-by-step explanation:

The constant of proportionality is ...

  (16 in)/(12 lb) = (4/3) in/lb

Then for a weight of 35 lb, the stretch will be ...

  (35 lb)(4/3 in/lb) = 140/3 in = 46 2/3 in

The spring will stretch about 47 inches with a 35 lb weight.

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