The following table shows average rice yield, in tons per hectare, in Asia years since 1980. $$\begin{array} { | l | l | l | l | l | l | }
\hline \begin{array} { l }
\text { t=years since } \
1980
\end{array} & 5 & 10 & 15 & 20 & 25 \
\hline Y = \text { yield } & 3.32 & 3.61 & 3.73 & 3.95 & 4.11 \
\hline
\end{array}$$ Use the average rate of change to estimate the yield in 1989.
A) 3.32 tons per hectare
B) 3.55 tons per hectare
C) 3.46 tons per hectare
D) None of the above

Question

The following table shows average rice yield, in tons per hectare, in Asia  years since 1980. $$\begin{array} { | l | l | l | l | l | l | } 
\hline \begin{array} { l } 
\text { t=years since } \
1980
\end{array} & 5 & 10 & 15 & 20 & 25 \
\hline Y = \text { yield } & 3.32 & 3.61 & 3.73 & 3.95 & 4.11 \
\hline
\end{array}$$ Use the average rate of change to estimate the yield in 1989.
A) 3.32 tons per hectare 
B) 3.55 tons per hectare 
C) 3.46 tons per hectare 
D) None of the above

Quizplus · Accepted Answer

To estimate the yield in 1989, we need to find the average rate of change between t = 5 and t = 10.

Average rate of change = (change in Y) / (change in t) 
= (3.61 - 3.32) / 5 
= 0.058

Using this average rate of change, we can estimate the yield in 1989 as follows:

Y = 3.32 + (0.058)(9) 
= 3.55

Therefore, the best choice is B, 3.55 tons per hectare.

The Following Table Shows Average Rice Yield, in Tons Per