A particle moves vertically up and down. The height, $h$ (in feet), of a particle for various times, $t$ (in seconds), is provided in the table below.

$t$ | 1 | 3 | 8 | 12 | 15 |
---|---|---|---|---|---|

$h$ | 3 | 6 | 9 | 7 | 5 |

Estimate the average height of the particle on the interval $1\le t \le 15$? Use a trapezoid approximation for your calculation. Round to the nearest tenth of a foot.

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