Algebra - Ch. 32: Application of Linear Equations (8 of 11) Linear Demand Equation: Example 1

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We will solve: If the price of tomatoes is $4/pound. The demand is 1 pound per customer per week. For each decrease of $1 per pound the demand increases by 1 pound. Find the equation and graph.

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I still have some confusion unsolved. Since you are using the graph of y=2t as an example to find its area under the line which is pretty obvious and easy to understand but what if I give you a graph of y=x^3 at the first place and ask you to find its area under a curve from x=0 to 2. I know the answer is 4 by using the formula of integration but what is the point of taking the anti-derivates to get (x^4)/4 takeing area under 4 order
the graph of (x^4)/4 the graph of it is different from the( x^3)
graph fourth of equation graph looks like shape of "W" and third order equation looks like shape of "N", what is the point of taking area the under curve of third order equation while using integral to obtain 4 order sir (only gives the orginal function back too existances)
i have comments in calaulus 2 ch1

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Doc B, Is the study of economics tantamount to the study of Greek Mythology?

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