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

Question

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

Quizplus · Accepted Answer

The model given is $h(t) = h_0 - 16t^2$. To find $h_0$, we can use the data point at $t = 0$, which gives $h(0) = 750$. Substituting $t = 0$ into the model gives $h_0 = 750$.

Find a Power Function That Models the Data in the Table