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Ratio & Proportion · Question 44 of 67

Question 44

EasyOriginal question

The stretch of a spring varies directly as the load hung on it. A 5 kg load stretches the spring by 3.5 cm. What load will stretch it by 9.8 cm?

Options for question 44

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Stretch = k × load, so k=3.55=0.7k = \frac{3.5}{5} = 0.7 cm per kg.

  2. Load = 9.80.7=14\frac{9.8}{0.7} = 14 kg.

Worth noting

11.3 kg adds the extra 6.3 cm to the load; 6.86 kg multiplies by 0.7 instead of dividing.

Concept
Direct variation in a real situation
Typical time
40 s
Your time
—
The rule this testsDirect and inverse variation
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Ten questions from Ratio & Proportion, at your own pace.

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Ten questions from Ratio & Proportion, at your own pace.

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