Write the best-fit linear model for the data.
-The ages and lengths of several animals of the same species are recorded in the following table: $$\begin{array} { l | l }
\text { Age (months) } & \text { Length (inches) } \
\hline 12 & 9 \
\hline 15 & 12 \
\hline 17 & 20 \
\hline 21 & 21 \
\hline 26 & 24 \
\hline 28 & 27 \
\hline 32 & 35 \
\hline 38 & 40 \
\hline 41 & 40
\end{array}$$ Find and then use a linear model to determine the age of an animal whose length is 30 inches. Round to the nearest year.
A) 31 yr
B) 29 yr
C) 30 yr
D) 32 yr

Question

Write the best-fit linear model for the data.
-The ages and lengths of several animals of the same species are recorded in the following table: $$\begin{array} { l | l } 
\text { Age (months) } & \text { Length (inches) } \
\hline 12 & 9 \
\hline 15 & 12 \
\hline 17 & 20 \
\hline 21 & 21 \
\hline 26 & 24 \
\hline 28 & 27 \
\hline 32 & 35 \
\hline 38 & 40 \
\hline 41 & 40
\end{array}$$ Find and then use a linear model to determine the age of an animal whose length is 30 inches. Round to the nearest year.
A) 31 yr
B) 29 yr
C) 30 yr
D) 32 yr

Quizplus · Accepted Answer

The slope of the line is 0.75 inches per month. The y-intercept is 3 inches. The equation of the line is y = 0.75x + 3. Substituting y = 30 into the equation, we get x = 36. Therefore, the age of an animal whose length is 30 inches is 36 months, which is 3 years.

Write the Best-Fit Linear Model for the Data Find and Then Use a Linear Model to Determine the and Lengths