A rock is thrown into a lake, creating a circular ripple that travels outward. As the ripple travels, it displaces sediment on the bottom of the pond.

- is the radius of the ripple at seconds.
- is the volume of displaced sediment at seconds.
- The total displacement is given by .

Determine the average rate of change of with respect to between and using the data below.

1 | 2 | 5 |

2 | 4 | 10 |

3 | 6 | 15 |

4 | 8 | 20 |

5 | 10 | 25 |

6 | 12 | 30 |

7 | 14 | 35 |

8 | 16 | 40 |

9 | 18 | 45 |

10 | 20 | 50 |

1.5 3 6 10 20