Question

The number of fish in a lake can be modeled by the exponential regression equation y = 14.08 • 2.08x, where x represents the year. Which is the best prediction for the number of fish in year 5? Round your answer to the nearest whole number. A. 39 B. 548 C. 1464 D. 146

Answer 1

The correct answer option is C. 548.

Explanation:

We are given that the number of fish in a lake can be modeled by the following exponential regression equation:

`y = 1 4 . 0 8 * 2 . 0 8 ^ x`

where
`x` represents the number of year.

We are to determine whether which of the given answer options best predict the number of fish in year 5.

`y = 1 4 . 0 8 * 2.08^5`

`y = 548.17` ≈ 548

Answer 2

Answer: B. 548

Explanation:

You know that the exponential regression equation
`y = 14.08* 2.08^x` models the number of fish in a lake.

You know that the variable "x" represents the year. Therefore, ir order to predict the number of fish in year 5, you need to substitute
`x=5` into the given exponential regression equation.

Then, you get:

`y = 14.08* 2.08^x\\\\y = 14.08* 2.08^5\\\\y=548.17`

Rounded to the nearest whole number:

`y=548`