The equation #y=0.014x^2+ 0.448x -2.324# models the price of gasoline at a local gas station last March. In the equation, x=1 corresponds to March 1. On which date in March was the gas price the highest? What was the price on that date?
We have an equation where the degree of
The graph of the equation is that of a parabola opening upward.
What does that mean?
We have the parabola's vertex as its lowest point (i.e. price).
The gas price is decreasing from any point (date) before the vertex up to the vertex.
On the other hand, the gas price will increase starting from the vertex and onwards.
To check the trend during March (where
Note that as we increase the value of
This means for the month of March, the gas price will be highest on the last day of the month.