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Graphing systems of nonlinear equations.

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A biologist is comparing the growth of a population of flies per week to the number of flies a lizard will consume per week. She has devised an equation to solve for which day (x) the lizard would be able to eat the entire population. The equation is 3^x = 5x − 1. Explain how she can solve this on a graph using a system of equations.

 May 15, 2016

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The solution to the equation  3x  =  5x - 1  can be found by graphing these two equations on the same graph:

y  =  3x     and     y  =  5x -1     and finding the point of intersection.

There are two points of intersection, one at     x  =  .58     and the other is     x  =  2.

 May 15, 2016

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