Solve the Problem $\mathrm { d } ( \mathrm { t } ) = 431 ^ { 2 } + ( 80 \mathrm { t } ) ^ { 2 }$

Multiple Choice

Solve the problem.
-A rocket is shot straight up in the air from the ground at a rate of 80 feet per second. The rocket is tracked by a range finder that is 431 feet from the launch pad. Let d represent the distance from the rocket to the range finder
And t represent the time, in seconds, since "blastoff". Express d as a function of t. A) $\mathrm { d } ( \mathrm { t } ) = 431 ^ { 2 } + ( 80 \mathrm { t } ) ^ { 2 }$
B) $d ( t ) = \sqrt { 80 ^ { 2 } + ( 431 t ) ^ { 2 } }$
C) $\mathrm { d } ( \mathrm { t } ) = 431 + 80 \mathrm { t } ^ { 2 }$
D) $\mathrm { d } ( \mathrm { t } ) = \sqrt { 431 ^ { 2 } + ( 80 \mathrm { t } ) ^ { 2 } }$