Using time-lapse photography, the spread of a liquid is tracked in one-fifth of a second i...

Using time-lapse photography, the spread of a liquid is tracked in one-fifth of a second intervals, as a small amount of liquid is dropped on a piece of fabric. A power function provides a reasonable model for the first second. Use a graphing calculator to (a) graph a scatterplot of the data and (b) find an equation model using a power regression (round to two decimal places). Use the equation to estimate (c) the size of the stain after 0.5 sec and (d) how long it will take the stain to reach a size of 15 mm.