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 7? Round your answer to the nearest whole number.

Answer 1

2372 fish

Explanation:

Given:

y = 14.08 • 2.08^x

where y represents the number of fish in a lake and x represents the year.

In order to predict the number of fish in year 7, just replace x = 7 in the above equation, to get:

y = 14.08 • 2.08^(7)

y = 2371.6 ≅ 2372

Answer 2

2372

Explanation:

Filling in a 7 for x gives you

`y=14.08(2.08)^7`

Raise 2.08 to the power of 7 to get

y = 14.08(168.4392677) and multiply to get

y = 2371.62489

Since we cannot have a decimal amount of fish, the population will round to 2372 as a whole number