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A large pond is stocked with fish. The fish population P is modeled by the formula P = 2t + 8 t + 110, where t is the number of days since the fish were first introduced into the pond. How many days will it take for the fish population to reach 500? (Round your answer to the nearest whole number.)

Respuesta :

carlos2112

Answer:

[tex]t=39days[/tex]

Explanation:

[tex]P(t)=2t+8t+110=10t+110[/tex]

We need to find how many days will take for the fish population to reach a population of 500. This happens when:

[tex]P(t)=500=10t+110[/tex]

Isolate "t" to one side of the equation  by  subtracting 100 to both sides:

[tex]10t=500-110[/tex]

[tex]10t=390[/tex]

Finally, divide both sides by 10

[tex]t=\frac{390}{10}=39[/tex]