WeBWorK using host: https://webwork-ptx.aimath.org, format: simple seed: 140

A speeding motorist slams on the brakes when she sees an accident directly ahead of her. The distance she has traveled $t$ seconds after braking is shown in the table.

Time (seconds)	$0$	$0.5$	$1.0$	$1.5$	$2.0$	$2.5$
Distance (feet)	$0$	$51$	$95$	$131$	$160$	$181$

Enter the data into your calculator and create a scatterplot. Fit a quadratic regression equation to the data and graph the equation on the scatterplot.
Regression equation: $y=$ Use $x$ for the time in seconds.

Use your regression equation to find the vertex of the parabola:
What do the coordinates represent in terms of the problem?