Find an equation for an exponential function that passes through the pair of points $( 4,3 )$ and $( 7,1 )$ . $y = A b ^ { x } ( b 0 )$
A) $A = 12.9805$ , $b = 0.693$
B) $A = 12.9799$ , $b = 0.6935$
C) $A = 12.9792$ , $b = 0.6924$
D) $A = 13.0162$ , $b = 0.5584$
E) $A = 12.9802$ , $b = 0.6934$

Question

Find an equation for an exponential function that passes through the pair of points $( 4,3 )$ and $( 7,1 )$ .   $y = A b ^ { x } ( b > 0 )$  
A) $A = 12.9805$ , $b = 0.693$
B) $A = 12.9799$ , $b = 0.6935$
C) $A = 12.9792$ , $b = 0.6924$
D) $A = 13.0162$ , $b = 0.5584$
E) $A = 12.9802$ , $b = 0.6934$

Quizplus · Accepted Answer

By substituting the points into the exponential function and solving the system of equations, the values of $A$ and $b$ are found to be approximately 12.9802 and 0.6934, respectively.

Find an Equation for an Exponential Function That Passes Through (4,3)( 4,3 )(4,3)

Find an Equation for an Exponential Function That Passes Through $( 4,3 )$