Determine the Percentage Rate of Change of F(x) = $e ^ { 0.9 x }$

question 72

Multiple Choice

Determine the percentage rate of change of f(x) = $e ^ { 0.9 x }$ at x = 15 and x = 30.

• A) \(\frac { f ^ { \prime } ( 15 ) } { f ( 15 ) }\) = 22%, \(\frac { f ^ { \prime } ( 30 ) } { f ( 30 ) }\) = 5%
• B) \(\frac { f ^ { \prime } ( 15 ) } { f ( 15 ) }\) = 90%, \(\frac { f ^ { \prime } ( 30 ) } { f ( 30 ) }\) = 90%
• C) \(\frac { f ^ { \prime } ( 15 ) } { f ( 15 ) }\) = 38%, \(\frac { f ^ { \prime } ( 30 ) } { f ( 30 ) }\) = 14%
• D) \(\frac { f ^ { \prime } ( 15 ) } { f ( 15 ) }\) = 17%, \(\frac { f ^ { \prime } ( 30 ) } { f ( 30 ) }\) = 29%

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Definitions:

Efficiency Wages

A theory suggesting employers may pay wages higher than the market equilibrium to increase productivity, reduce turnover, and motivate employees.

Worker Turnover

The rate at which employees leave a workforce and are replaced by new ones, which can affect organizational performance and costs.

Minimum Wage Laws

Legislation that sets the lowest hourly rate that employers can legally pay their employees.

Unemployment Levels

The proportion of the labor force that is jobless and actively seeking employment.