Ascientist measured the greatest linear dimension of several irregular metal objects. he then used water displacement
to calculate the volume of each of the objects. the data he collected are (1, 3), (2, 5), (4, 9), and (6, 20), where the
first coordinate represents the linear measurement of the object in centimeters, and the second coordinate represents
the volume in cubic centimeters. knowing that volume measures generally vary directly with the cubed value of linear
measurements, he wants to try to fit this data to a curve in the form of v(x) = ax3 + bx2 + cc+
a. represent the data using a system of equations.
b. represent the system using a matrix equation in the form a= b.
c. use technology to solve the system.
d. based on your solution to the system, what cubic equation models the data?
e. what are some of the limitations of the model?