Find the Exponential Model That $y = a e ^ { b x }$

question 22

Multiple Choice

Find the exponential model that $y = a e ^ { b x }$ fits the points shown in the table. $$\begin{array} { | l | l | l | } \hline x & 0 & 4 \\\hline y & 25 & 5 \\\hline\end{array}$$

• A) \(y = 25 e ^ { - 0.4024 x }\)
• B) \(y = 25 e ^ { 0.5024 x }\)
• C) \(y = - \frac { 1 } { 25 } e ^ { 0.4024 x }\)
• D) \(y = \frac { 1 } { 25 } e ^ { - 0.6024 x }\)
• E) \(y = - \frac { 1 } { 25 } e ^ { - 0.4024 x }\)

Recognize the importance of competition and the price mechanism in economic systems.

Analyze the historical and contemporary examples of economic systems in action, including communist and capitalist countries.

Discuss the concept of private vs. public ownership of resources and its implications for economic output and efficiency.

Understand the significance of Adam Smith's theories and the concept of the invisible hand.

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