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Suppose that the total revenue realized by the Odyssey Travel Agency is R=f(x) thousand dollars if x thousand dollars are spent on advertising.What doesf(b)-f(a)/b-a         (0<a<b)measure? What are the units?What does f'(x) measure? Give units.Given that f'(20)=3 what is the approximate change in the revenue if Odyssey increases its advertising budget from $20,000 to $21,000?

Question

Suppose that the total revenue realized by the Odyssey Travel Agency is R=f(x) thousand dollars if x thousand dollars are spent on advertising.

  1. What does

    f(b)-f(a)/b-a         (0<a<b)

    measure? What are the units?

  2. What does f'(x) measure? Give units.

  3. Given that f'(20)=3 what is the approximate change in the revenue if Odyssey increases its advertising budget from $20,000 to $21,000?

check_circleAnswer
Step 1

1. f(b)-f(a)/b-a measures rate of change of revenue from "a" thousand dollars to "b" thousand dollars.

 f(x) has unit=thousand dollars

x also has unit=thousand dollars

So, unit of f(b)-f(a)/b-a is thousand dollars per thousand dollars. 

Step 2

2. f'(x) means instantaneous rate of change of revenue when x thousand dollars were spent ...

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Math

Calculus

Derivative

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