since the sanctuary was established the estimated population of American Robins in the area has increased from 86 to 102 to describe the percentage change in the estimated population of American Robins round to the nearest whole percent.

Respuesta :

Given data:

The initial population is I=86.

The final population is F=102.

The expression for the percentage change is,

[tex]\Delta=\frac{F-I}{I}\times100[/tex]

Substitute the given values in the above expression.

[tex]\begin{gathered} \Delta=\frac{102-86}{86}\times100 \\ =\frac{16}{86}\times100 \\ =18.60465\text{ percent} \\ \approx19\text{ percent} \end{gathered}[/tex]

Thus, the percentage change is 19%.