Q104 · Practice questionTechnology-activeSimple familiar3 marks
QUESTION 104 (3 marks)
A population is modelled by , where is measured in years. Determine and interpret its meaning in context.
WORKED SOLUTION
3 marksPractice marking scheme
ANSWER
people per year; at the population is decreasing at about people per year.
Worked solution
. Hence . The negative sign indicates decrease.
Differentiates the exponential model correctly.
Evaluates the derivative at .
Interprets the sign and units in context.
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