3. To raise some funds, students at Madison elementary school are selling hotdogs at the football game. They know that selling 100 hotdogs will generate a profit of $30 while selling 200 will generate a profit of $95. If the relationship between profit (p) and number of hotdogs sold (h) is linear, a) Find the equation that models the relationship between p and h. b) Find b, the y-intercept. Provide the contextual meaning of b. c) Find m, the slope of the line. Provide the contextual meaning of m.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Problem Statement:**

To raise some funds, students at Madison elementary school are selling hotdogs at the football game. They know that selling 100 hotdogs will generate a profit of $30 while selling 200 will generate a profit of $95. If the relationship between profit (\(p\)) and number of hotdogs sold (\(h\)) is linear:

a) Find the equation that models the relationship between \(p\) and \(h\).

b) Find \(b\), the \(y\)-intercept. Provide the contextual meaning of \(b\).

c) Find \(m\), the slope of the line. Provide the contextual meaning of \(m\).
Transcribed Image Text:**Problem Statement:** To raise some funds, students at Madison elementary school are selling hotdogs at the football game. They know that selling 100 hotdogs will generate a profit of $30 while selling 200 will generate a profit of $95. If the relationship between profit (\(p\)) and number of hotdogs sold (\(h\)) is linear: a) Find the equation that models the relationship between \(p\) and \(h\). b) Find \(b\), the \(y\)-intercept. Provide the contextual meaning of \(b\). c) Find \(m\), the slope of the line. Provide the contextual meaning of \(m\).
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