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Unformatted text preview: e of change is akin to your average speed on the trip. Your speedometer measures your speed at any one instant along the trip, your instantaneous rates of change, and this is one of the central themes of Calculus.7 When interpreting rates of change, we interpret them the same way we did slopes. In the context of functions, it may be helpful to think of the average rate of change as: change in outputs change in inputs Example 2.1.7. The revenue of selling x units at a price p per unit is given by the formula R = xp. Suppose we are in the scenario of Examples 2.1.5 and 2.1.6. 1. Find and simplify an expression for the weekly revenue R as a function of weekly sales, x. 2. Find and interpret the average rate of change of R over the interval [0, 50]. 3. Find and interpret the average rate of change of R as x changes from 50 to 100 and compare that to your result in part 2. 4. Find and interpret the average rate of change of weekly revenue as weekly sales increase from 100 PortaBoys to 150 PortaBoys. Solution. 7 He...
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This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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