Math Problem Statement

a. Find a power function that models the data. b. Find a linear function that models the data. c. Visually determine which function is the better fit for the data.

x

y

1 5 2 9 3 11 4 21 5 31 6 45

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Data Modeling
Power Functions
Linear Functions

Formulas

Power function: y = a * x^b
Linear function: y = mx + c

Theorems

Least squares method for finding best-fit functions

Suitable Grade Level

Grades 10-12