A Trinidadian company uses the function C(t) = 500(0.85)ᵗ to model the mass of cocoa beans (in kg) remaining after t days of drying. What does the value 0.85 represent in this context?

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Question

A Trinidadian company uses the function C(t) = 500(0.85)ᵗ to model the mass of cocoa beans (in kg) remaining after t days of drying. What does the value 0.85 represent in this context?

Accepted Answer

The daily decay factor — Award 1 mark for identifying that 0.85 represents the proportion remaining each day (or 15% loss per day). A is incorrect — 500 represents the initial mass. C is incorrect — the final mass depends on the value of t. D is incorrect — since 0.85 < 1, this represents decay not growth.

Answer

The initial mass of cocoa beans

Answer

The daily decay factor

Answer

The rate of increase per day

Answer

The final mass after drying

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