18
QuizMultiple Choice

Direct Variation

Question 18 • LVA - Mathematical Modeling - Spring

The distance D that a spring is stretched by a hanging object varies directly as the weight W of the object. If a 27-kg object stretches a spring 53 cm, find the distance when the weight is 13-kg. Round your answer to the nearest whole centimeter.

Answer
A
26 cm
B
2 cm
C
7 cm
D
93 cm

Explanation

Since the distance varies directly with the weight, the ratio D/W stays constant. For a 13-kg object, D = 53 × (13/27) ≈ 25.52 cm, which rounds to 26 cm. The correct choice is 26 cm.

AI-written and checked against the verified answer.

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