I've never really used Open Study before. But this is the only question I am having trouble with. Once I finish this question I'll be done with the class, but I am lost!
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. However, she has observed that the lizard cannot eat more than seven flies in one week.

Question

I've never really used Open Study before. But this is the only question I am having trouble with. Once I finish this question I'll be done with the class, but I am lost! 
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. However, she has observed that the lizard cannot eat more than seven flies in one week.

anonymous · Answer

explain to the biologist how she can solve this on a graph using a system of equations. Identify any possible constraints to the situation.

anonymous · Answer

@phi

hero · Answer

Graph

$y = 3^x$
$y = 5x - 1$

Observe where the graphs intersect to get the solution.

hero · Answer

https://www.desmos.com/calculator/kxlmlpguvx

anonymous · Answer

Thank you so much! I can finally be done!