The following table shows the number of bird species found on an island of area $A$ square miles that is part of a particular Pacific island chain. $$\begin{array} { | l | l | l | l | l | l | }
\hline A = \text { area } & 10 & 20 & 30 & 40 & 50 \
\hline \begin{array} { l }
W = \text { number } \
\text { of species }
\end{array} & 25 & 31 & 36 & 39 & 42 \
\hline
\end{array}$$ Calculate the average rate of change in the number of species as the area changes from 30 to 40 square miles.
A) 1.52 species per square mile
B) 39 species per square mile
C) 0.3 species per square mile
D) None of the above

Question

The following table shows the number of bird species found on an island of area $A$ square miles that is part of a particular Pacific island chain. $$\begin{array} { | l | l | l | l | l | l | } 
\hline A = \text { area } & 10 & 20 & 30 & 40 & 50 \
\hline \begin{array} { l } 
W = \text { number } \
\text { of species }
\end{array} & 25 & 31 & 36 & 39 & 42 \
\hline
\end{array}$$ Calculate the average rate of change in the number of species as the area changes from 30 to 40 square miles.
A) 1.52 species per square mile
B) 39 species per square mile
C) 0.3 species per square mile
D) None of the above

Quizplus · Accepted Answer

We need to find the average rate of change in the number of species per square mile from an area of 30 to 40 square miles. The change in the number of species is 39-36 = 3, and the change in area is 10. Therefore, the average rate of change in the number of species per square mile is:

$$\frac{3}{10}=0.3 \text{ species per square mile}$$

Hence, the answer is (C).

The Following Table Shows the Number of Bird Species Found AAA

The Following Table Shows the Number of Bird Species Found $A$