Solve the Problem $b$ So That $f ( x ) = a x ^ { b }$

question 44

Multiple Choice

Solve the problem.
-The table shows the population of a certain city in various different years. Use regression to find values for a and $b$ so that $f ( x ) = a x ^ { b }$ models this data, where $x$ represents the number of years since 1980 and $f ( x )$ is the population of the city in hundreds of thousands. Round your answers to 4 decimal places.

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

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