A developed country\'s Gross National Product (GNP) is at 100 units at an initia

Question

A developed country's Gross National Product (GNP) is at 100 units at an initial year and it is declining as per the path described by the equation: chi = 100 - t where chi is GNP of that country and t is the year. A developing country had a GNP much lower at 19 units in the initial year and it has been growing by a path described by the equation: y = t2 - t + 19 where y is the GNP of that country and t is the year. At what point in time or which year does the developing country's GNP catch up with that of the developed country? Show your answer both graphically and through algebraic equation and its solution.

Explanation / Answer

100 - t = t^2 - t + 19, t = 9 years

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