Question

The equation LaTeX: p=5000\cdot2^tp = 5000 ⋅ 2 t represents the population of an invasive fish species in a large lake, years since 2005, when the fish population in the lake was first surveyed.

What was the population in 2005?

Answer 1

The population in 2005 was 5000.

Step-by-step explanation:

The equation p = 5000 ⋅ 2t represents the population of an invasive fish species in a large lake, years since 2005, when the fish population in the lake was first surveyed. To find the population in 2005, we need to substitute the value of t as 0, since it represents the number of years since 2005. Plugging in the value, we have:

p = 5000 ⋅ 20

p = 5000 ⋅ 1

p = 5000

Therefore, the population in 2005 was 5000.

Answer 2

10000 fish species

Step-by-step explanation:

Given

`p=5000\cdot2^t`

Required

Find the population in 2005

2005 is the first year

So:
`t = 1`

Substitute 1 for t in
`p=5000\cdot2^t`

`p=5000\cdot2^t`

`p = 5000 * 2^1`

`p = 5000 * 2`

`p = 10000`