Piecewise Sales Function Modeling

00:00 7 marks

A retail company models its monthly sales using a piecewise function to reflect different growth patterns throughout the year. The sales pattern is described as follows:

– For the first three months (months 1-3), sales are flat at a constant value \(S\).
– From month 4 to month 9 (inclusive), sales experience linear growth starting from the level \(S\) with a slope of \(m\).
– From month 9 onwards, sales plateau and maintain the sales value reached at month 9.

Determine the coordinates of the intersection point between the linear growth segment and the plateau segment of this piecewise function.

Hint Hint

Hint

To find the intersection, consider the month at which the linear growth transitions to a plateau and use the linear growth function to calculate the sales value at this month.

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Answer Answer

Complete Answer

(9, S+5m)

Mark Scheme Mark Scheme

Answer Explanation Answer Explanation

Common Errors Common Errors

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