Find a Power Function That Models the Data in the Table

Multiple Choice

Find a power function that models the data in the table. Round to three decimal places if necessary.
-The height of an object dropped from a tall building is given by the table, where t is the elapsed time in seconds and h is the height in feet. $$\begin{array}{l}\begin{array} { r | r r r r r r } \mathrm { t } & 0 & 1 & 2 & 3 & 4 & 5 \\\hline \mathrm { h } & 750 & 734 & 686 & 606 & 494 & 350\end{array}\\\text { If the height is modeled by } h ( t ) = h _ { 0 } - 16 t ^ { 2 } \text {, find } h _ { 0 } \text {. }\end{array}$$

A) 375 ft
B) 750 ft
C) 1125 ft
D) 1500 ft