Evaluate the function as indicated. Round your answer to three decimal places. $=100e−0.5xx=8\begin{aligned}g ( x ) & = 100 e ^ { - 0.5 x } \\x & = 8\end{aligned}$

A) -1087.313
B) 1.832
C) 5459.815
D) 1.593
E) -485.225

Question

Evaluate the function as indicated. Round your answer to three decimal places.

=100e−0.5xx=8\begin{aligned}g ( x ) & = 100 e ^ { - 0.5 x } \\x & = 8\end{aligned}

A) -1087.313
B) 1.832
C) 5459.815
D) 1.593
E) -485.225

Tiffany Cheng · Accepted Answer

Final Answer : B, Explanation :   To evaluate the function   g ( x ) = 100 e − 0.5 x g(x) = 100e^{-0.5x} g ( x ) = 100 e − 0.5 x   at   x = 8 x = 8 x = 8  , substitute   x x x   with 8:   g ( 8 ) = 100 e − 0.5 ( 8 ) = 100 e − 4 g(8) = 100e^{-0.5(8)} = 100e^{-4} g ( 8 ) = 100 e − 0.5 ( 8 ) = 100 e − 4  . Calculating this gives approximately 1.832 when rounded to three decimal places.

Evaluate the function as indicated. Round your answer to three decimal places. $=100e−0.5xx=8\begin{aligned}g ( x ) & = 100 e ^ { - 0.5 x } \\x & = 8\end{aligned}$

A) -1087.313
B) 1.832
C) 5459.815
D) 1.593
E) -485.225

Definitions

Learning Objectives

Learning Objectives

Related questions

Evaluate the function as indicated. Round your answer to three decimal places. g(x) =100e−0.5xx=8\begin{aligned}g ( x ) & = 100 e ^ { - 0.5 x } \\x & = 8\end{aligned}g(x) x​=100e−0.5x=8​ A) -1087.313B) 1.832C) 5459.815D) 1.593E) -485.225

Definitions

Learning Objectives

Learning Objectives

Related questions

Evaluate the function as indicated. Round your answer to three decimal places. $=100e−0.5xx=8\begin{aligned}g ( x ) & = 100 e ^ { - 0.5 x } \\x & = 8\end{aligned}$

A) -1087.313
B) 1.832
C) 5459.815
D) 1.593
E) -485.225