Difference in quotients and maximum value


Assignment:

The following wage function represents the relationship between age and wages for a typical employee of a large firm:

Wage= 20 + 25 * age - 0.25 * age^2

a) using the difference quotient, find the change in the wage from where age=30 to where age=40.
b) show the formula for the change in the wage when age=1
c) at what age is the wage the highest?

Provide complete and step by step solution for the question and show calculations and use formulas.

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Algebra: Difference in quotients and maximum value
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