Question

the number of fish in a lake can be modeled by the exponential regression equation $y = 14.08 \cdot 2.08^x$, 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.
a. 168
b. 2372
c. 2050
d. 205

Explanation:

Step1: Substitute x=7 into equation

$y = 14.08 \cdot 2.08^7$

Step2: Calculate $2.08^7$ first

$2.08^7 \approx 2.08\times2.08\times2.08\times2.08\times2.08\times2.08\times2.08 \approx 145.74$

Step3: Multiply by 14.08

$y \approx 14.08 \times 145.74$
$y \approx 2052.02$

Step4: Round to nearest whole number

$y \approx 2050$

Answer:

C. 2050