Direct or inverse proportion?

Maths

Direct and indirect proportion

Decide whether the scenarios below represent direct or inverse proportion: The cost of apples and the quantity of apples.

Decide whether the scenarios below represent direct or inverse proportion: The speed travelled and the time taken.

The time it takes to build a house compared with the number of builders all working at the same rate.

Is this a direct or inverse proportion question? It takes 6 hours to fill a pool with water coming from three taps. How long would it take if only two taps are switched on?

Is this  a direct or inverse proportion question? It costs £6 for a cinema ticket. Given that there are no current offers. How much would it cost to buy 6 tickets?

Does this scenario represent direct or inverse proportion or neither? 𝑥 represents the number of units of gas used in a house in a month.  𝑦 represents the cost in pence.  There is a charge of £12 each month, even if no gas is used.  Each unit of gas costs 25 pence.

Is this a direct or inverse proportion question? Michael fills a fish tank. Michael uses a 4 litre jug, he will need to use 15 jugfuls. How many jugfuls are needed if he uses a 6 litre jug?

True or False? Inverse proportion  can be represented graphically with the line 𝒚 = 𝒂𝒙 passing through the origin.

True or False: Inverse proportion can be represented graphically using 𝑦 =𝑎/𝑥. This is a curved line.

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Direct or inverse proportion?

Lesson outcome