Problem solving with linear functions 2.

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The problem involves finding a linear function for the selling price p based on the quantity demanded q, given two points: (25, 15) and (100, 10). The discussion emphasizes determining the slope and y-intercept to formulate the equation in slope-intercept form. The domain for q is specified as between 20 and 150. Participants suggest that using the two points provided can lead to the correct linear equation. The conversation centers around applying linear function principles to solve the problem effectively.
davie08
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Homework Statement



Suppose the selling price p of a product is linearly related to the quantity demanded q. If p=$15 when q=25, and p=$10 when q=100, and if q is at least 20 but not more than 150, find p as a function of q.


Homework Equations





The Attempt at a Solution



I couldn't find a sample problem for this so I would just guess that the domain would be
20<q<150.
 
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If you were given two points, could you come up with a linear equation in slope-intercept form? If you can, then you should be able to do answer your question.
 

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