Convert the exponential function to the form indicated. Round all coefficients to four significant digits.
$f ( x ) = 2.7 e ^ { - 0.7 x }$ ; $f ( x ) = A b ^ { x }$
A) $A = 3.7$ , $b = 0.62$
B) $A = 2.7$ , $b = 0.4966$
C) $A = 3.7$ , $b = 0.4946$
D) $A = 4.7$ , $b = 0.3621$
E) $A = 2.7$ , $b = 0.4969$

Question

Convert the exponential function to the form indicated. Round all coefficients to four significant digits.  
  $f ( x ) = 2.7 e ^ { - 0.7 x }$ ; $f ( x ) = A b ^ { x }$  
A) $A = 3.7$ , $b = 0.62$
B)  $A = 2.7$ , $b = 0.4966$
C) $A = 3.7$ , $b = 0.4946$
D) $A = 4.7$ , $b = 0.3621$
E) $A = 2.7$ , $b = 0.4969$

Quizplus · Accepted Answer

The given function is already in the form $f(x) = A b^x$ with $A = 2.7$ and $b = e^{-0.7}$. Calculating $b = e^{-0.7}$ gives approximately $0.4966$, making option B correct.

Convert the Exponential Function to the Form Indicated f(x)=2.7e−0.7xf ( x ) = 2.7 e ^ { - 0.7 x }f(x)=2.7e−0.7x

Convert the Exponential Function to the Form Indicated $f ( x ) = 2.7 e ^ { - 0.7 x }$