## Exam-Style Question on Proportion## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 257. This question is similar to one that appeared on a GCSE Higher paper (specimen) for 2017. The use of a calculator is allowed.

At depths below 900 metres, the temperature of the water in the sea is given by the formula:

$$T=\frac{4500}{x}$$Where \(x\) is the depth in metres and the temperature of the water is T °C.

(a) A fish swims downwards from a depth of 1000 metres to a depth of 1500 metres. How many degrees colder is the sea water at 1500m than 1000m?

(b) Roughly sketch the shape of a graph that shows that T is inversely proportional to \(x\).

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If you need more practice try the self-checking interactive exercises called Direct and Inverse Proportion.

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