Question

A biologist is comparing the growth of a population of flies per week to the number of flies an iguana will consume per week. He has devised an equation to solve for which day (x) the iguana would be able to eat the entire population. The equation is 3x = 2x + 1. Explain to the biologist how he can solve this on a graph using a system of equations.

Answer 1

3x=2x+1 The system of equations for the given equation are: y=3xy=2x+1 You can graph these two equations in GeoGebra or any other graphing program. The intersection points give the times at which both the equations will have same values - that is - the days at which the population of flies equals the flies consumed by the iguana.

Hope I helped!