Question

Your boss hands you a memo with a summary of the monthly data. The number of imports is shown as f(x), and the number of exports is shown as g(x). Use the data in the table below, representing both functions, to explain to your boss the solution to the system of equations and what that solution represents. Use complete sentences.

Answer 1

The solution to the system of equations (f(x) = g(x)) is x = 3, representing the month of March, where the number of imports (f(x)) equals the number of exports (g(x)).

The solution to the system of equations, where f(x) represents the number of imports and g(x) represents the number of exports, occurs when x equals 3, corresponding to the month of March. In March, both functions have a value of 9, signifying that the number of imports matches precisely with the number of exports.

This balance in the values of f(x) and g(x) at x = 3 implies that, during March, the quantity of goods imported is equivalent to the quantity of goods exported. This alignment in the data for the two functions indicates a point of equilibrium in trade for that specific month, providing a key insight into the balanced dynamics of imports and exports during that period.