The table below shows the estimated population of fish living in the local lake as determined by the local
environment council every 10 years between 1960 and 1990.
The equation y = 1500(.9) describes the curve of best fit for the fish population (y). Let z represent the
number of 10-year intervals since 1960.
Year Population
1960
1500
1970
1350
1980 1210
1990 1100
Using this equation, what is the approximate predicted population of fish living in the lake in the year 2020?
A) 980
B) 800
C) 770
D) 720

Respuesta :

The approximate predicted population of fish living in the lake in the year 2020 is; B: 800

How to Calculate Estimate population from a Table?

We are told that the equation that describes the curve of best fit for the fish population (y) is;

y = 1500(0.9)^(z)

where z represent the

number of 10-year intervals since 1960.

The table started in the year 1960 and we want to find the population in the year 2020.
Number of years after 2020 is;

2020 - 1960 = 60 years

60 years is 6 decades

Thus;

y = 1500(0.9)⁶ = 797 ≈ 800

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