Question
Use linear interpolation to estimate the desired quantity.An animation director enters the position $f(t)$ of a character's head after $t$ frames of the movie as given in the table.$$\begin{array}{|l|l|l|l|}\hline t & 200 & 220 & 240 \\\hline f(t) & 128 & 142 & 136 \\\hline\end{array}$$If the computer software uses interpolation to determine the intermediate positions, determine the position of the head at frame numbers (a) 208 and (b) 232 .
Step 1
We have three data points: - At \( t = 200 \), \( f(t) = 128 \) - At \( t = 220 \), \( f(t) = 142 \) - At \( t = 240 \), \( f(t) = 136 \) Show more…
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Use linear interpolation to estimate the desired quantity. An animation director enters the position $f(t)$ of a character's head after $t$ frames of the movie as given in the table. $$\begin{array}{|l|l|l|l|}\hline t & 200 & 220 & 240 \\\hline f(t) & 128 & 142 & 136 \\\hline\end{array}$$ If the computer software uses interpolation to determine the intermediate positions, determine the position of the head at frame numbers (a) 208 and (b) 232
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