Question

Hello, it seems they want me to use a matrix to help solve this.

Answer 1

The general quadratic model is,

$y=ax^2+bx+c$

Let us sketch the graph below

From the graph above,

$\begin{gathered} a=-0.015 \\ b=3.75 \\ c=50 \end{gathered}$

Hence, the model to the data given is

$y=-0.015x^2+3.75x+50$

Therefore, from the graph given the population in 2050 is 275millions.