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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 7x = 3x + 4.

Explain to the biologist how she can solve this on a graph using a system of equations.

Respuesta :

mhanifa

Answer:

  • (-1.307, 0.079), (1, 7)

Step-by-step explanation:

Given equation:

  • 7ˣ = 3x + 4

To solve this, express each side of the equation as different function and find the intersection of graphs of those functions:

  • y = 7ˣ
  • y = 3x + 4

As per graph, the solution is:

  • (-1.307, 0.079), (1, 7)
Ver imagen mhanifa
MisterBrainly
  • 7^x=3x+4

Break into two parts

  • y=3x+4
  • y=7^x

Now graph and find the solution

Ver imagen MisterBrainly

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