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SCALCLS$15\mathrm{.}1\mathrm{.}007.$MI$.$

The speed of a runner increased steadily during the first three seconds of a race. Her speed at half$-$second intervals is given in the table. Find lower and upper estimates for the distance that she traveled during these three seconds.

ft $($smaller value$)$

$$

ft $($larger value$)$

$\backslash$table$[[t(s),0,0\mathrm{.}5,1\mathrm{.}0,1\mathrm{.}5,2\mathrm{.}0,2\mathrm{.}5,3\mathrm{.}0],[v(f\frac{t}{s}),0,6\mathrm{.}7,9\mathrm{.}2,15\mathrm{.}5,18\mathrm{.}8,19\mathrm{.}8,20]]$

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