Find a Power Function That Models the Data in the Table

Multiple Choice

Find a power function that models the data in the table. Round to three decimal places if necessary.
-The table shows the population of a certain city in various different years. Use regression to find values for a and b so that f(x) = axb models this data, where x represents the number of years since 1990 and f(x) is the
Population of the city in hundreds of thousands. Round your answers to 4 decimal places. $\begin{array}{l|ccccc}\text { Year } & 1991 & 1995 & 1999 & 2003 & 2007 \\\hline \text { Population (hundreds of thousands) } & 3.2 & 4.1 & 5.7 & 9.6 & 14.1\end{array}$

A) $\mathrm { a } \approx 1.8506 , \mathrm {~b} \approx 0.5121$
B) $a \approx 2.1375 , b \approx 0.4432$
C) $\mathrm { a } \approx 1.7025 , \mathrm {~b} \approx 0.5375$
D) $a \approx 2.6352 , b \approx 0.4756$