2. A raindrop falls into a puddle, creating a circular ripple. The radius of the ripple grows at a steady rate of 7cm/s If the origin is used as the location where the raindrop hits the puddl determine the equation that models the ripple exactly 28 seconds after the raindrop hits th puddle.

Here's how to determine the equation of the ripple:<br /><br />**1. Calculate the radius:**<br /><br />* The radius grows at 7 cm/s.<br />* After 28 seconds, the radius will be 7 cm/s * 28 s = 196 cm.<br /><br />**2. Determine the equation of a circle:**<br /><br />* The general equation of a circle centered at the origin (0,0) is x² + y² = r², where r is the radius.<br /><br />**3. Substitute the radius:**<br /><br />* In our case, the radius is 196 cm, so the equation becomes x² + y² = 196².<br /><br />**4. Simplify:**<br /><br />* x² + y² = 38416<br /><br />Therefore, the equation that models the ripple exactly 28 seconds after the raindrop hits the puddle is **x² + y² = 38416**.<br />