Question

the distance a spring will stretch varies directly with how much weight is attached to the spring. If a spring stretches 11 inches with 75 pounds attached, how far will it stretch with 65 attached? Round to the nearest tenth of an inch.

Answer 1

Direct variation involves ration and proportions, so 

you need to set up the proportion:

11 / 75 = x / 65
 
Cross multiplying:

75x = 11*65

x = (11*65)/75

Solving, we get x = 9.533, 

which rounds off to 9.5

Therefore, the spring will stretch up to 9.5 inches with 65 attached.

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