Algebra 6

2 marks · Normal

It takes a bee 300 000 km to produce 2 kg of honey. The distance (km) travelled is directly proportional to the mass (kg) of honey produced.

How many grams of honey can the bee produce by flying 45 000 km? (Give your answer in grams.)

Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.

Show answer

300 g (±1)

Common mistakes: Forgetting to convert kg to g; Inverting the proportional relationship

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Marking points

M1 · 1 mark · Sets up proportion correctly: d/m = 300,000/2.

A1 · 1 mark · Finds m for d = 45,000 and writes answer in grams.

Worked solution

Let d = km flown, m = mass produced:

So for d = 45,000 km:

Convert 0.3 kg to grams: 0.3 × 1000 = 300 grams.