Question

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.)

Answer 1

To find out how many days it will take for the fish population to reach 500, we can use the given formula P = 2t + 8t + 110 and set it equal to 500. Then we can solve for t.

Step-by-step explanation:

To find out how many days it will take for the fish population to reach 500, we can use the given formula P = 2t + 8t + 110 and set it equal to 500. Then we can solve for t.

2t + 8t + 110 = 500

10t + 110 = 500

10t = 390

t = 39

Therefore, it will take approximately 39 days for the fish population to reach 500.

Answer 2

`t=39days`

Step-by-step explanation:

`P(t)=2t+8t+110=10t+110`

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

`P(t)=500=10t+110`

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

`10t=500-110`

`10t=390`

Finally, divide both sides by 10

`t=(390)/(10)=39`