Direct and Inverse Proportion Practice Problems

Question 1

A is proportional to the square of B. Given that A = 12.8 when B = 8, write an equation for the proportional relationship between A and B (Select the valid answer)

Accepted Answer

A = 0.2B²

Answer

A = 0.02B²

Answer

A = 2B²

Question 2

Hooke’s law states that the force exerted on a spring is directly proportional to the extension of the spring. When a force of 6N is applied, a spring extends by 0.02m. Write an equation for the relationship between the force, F, in newtons and the spring’s extension, e, in metres (Select the valid answer)

Accepted Answer

F = 300e

Answer

e = 300F

Answer

F = 300e²

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Direct and Inverse Proportion – AS Level Maths