A tank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. The values in the table show the volume V of water remaining in the tank, in gallons, after t minutes. t (minutes) V (gallons) 694 10 443 15 250 20 110 25 28 30 (a) Use a graphing calculator to find a quadratic model for V. (Round all numerical values to two decimal places.)

Given:

The volume V of water remaining in the tank in gallons after t minutes is shown in the table,

Formula used:

$$\begin{gathered} \frac{d}{dx}{x}^n=n{x}^{n-1} \\ \frac{d}{dx}Cf\left(x\right)=C\frac{d}{dx}f\left(x\right) \left\{\mathrm{C} \mathrm{is} \mathrm{constant}\right\} \\ \frac{d}{dx}\mathrm{constant}=0 \end{gathered}$$