The Density D(h) (In Kg/m ³ ) of the Earth's $D ( h ) = 1.2 - a h + b h ^ { 2 } - c h ^ { 3 } \text {, }$

Multiple Choice

The density D(h) (in kg/m ³ ) of the earth's atmosphere at an altitude of h meters can be approximated by $D ( h ) = 1.2 - a h + b h ^ { 2 } - c h ^ { 3 } \text {, }$ where $a = 1.096 \times 10 ^ { - 4 } , b = 3.42 \times 10 ^ { - 9 } , c = 3.6 \times 10 ^ { - 14 } ,$ and $0 \leq h \leq 30,000$ . Use a graphing utility to graph D and approximate the altitude h at which the density is 0.3.

A) 12,400 m
B) 12,600 m
C) 12,000 m
D) 12,800 m
E) 12,200 m