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35. Ratio, proportion and rates of change

Using the concepts of growth and decay to understand the impact of increasing commodity prices

Pupils assess the impact of increased commodity prices during a period of inflation on the cost of producing smartphones.

Scenario

Smartphone production requires a number of key raw materials and components. However, some of these raw materials are only found in a small number of countries and essential components, such as semiconductors, are only produced by a handful of companies. Therefore, these materials and components are prone to large price increases during periods of high inflation. You are an apprentice in the finance department of a global smartphone maker and have been tasked with assessing the impact of these price increases on the cost of producing smartphones.

Curriculum references

National Curriculum 16  Set up, solve and interpret the answers in growth and decay problems, including compound interest and work with general iterative processes.
OCR 5.03a Calculate simple interest including in financial contexts. Solve problems step-by-step involving multipliers over a given interval, for example, compound interest, depreciation, etc. Express exponential growth or decay as a formula. Solve and interpret answers in growth and decay problems.
AQA Edexcel R16 Set up, solve and interpret the answers in growth and decay problems, including compound interest. And work with general iterative processes.