Write a System of Linear Equations in Three Variables, and Then

question 114

Multiple Choice

Write a system of linear equations in three variables, and then use matrices to solve the system.
-The table below shows the number of birds for three selected years after an endangered species protection program was started. $$\begin{array} { l | c c c } \mathrm { x } \text { (Number of years after 1980) } & 1 & 5 & 10 \\\hline \mathrm { y } \text { (Number of birds) } & 43 & 139 & 349\end{array}$$ Use the quadratic function $y = a x ^ { 2 } + b x + c$ to model the data. Solve the system of linear equations involving $a , b$ , and $c$ using matrices. Find the equation that models the data.

• A) \(y = 2 x ^ { 2 } + 12 x + 29\)
• B) \(y = 3 x ^ { 2 } + 24 x + 24\)
• C) \(y = 4 x ^ { 2 } - 12 x + 32\)
• D) \(y = 4 x ^ { 2 } - 36 x + 25\)

---

Definitions:

DVD Capabilities

The functional features or technologies that enable a DVD player or drive to read, write, or rewrite discs.

DVD Player Industry

The sector or market associated with the manufacture and sale of DVD players.

Cigarettes

Narrow cylinders containing psychoactive material, typically tobacco, that are rolled into thin paper for smoking.

Levy

A tax imposed by a government on goods, services, or financial transactions.