At a price of ​$2.27 per​ bushel, the supply of a certain grain is 7400 million bushels and the demand is 7600 million bushels. At a price of ​$2.34 per​ bushel, the supply is 7800 million bushels and the demand is 7500 million bushels. ​(A) Find a​ price-supply equation of the form p=mx+​b, where p is the price in dollars and x is the supply in millions of bushels. ​(B) Find a​ price-demand equation of the form p=mx+​b, where p is the price in dollars and x is the demand in millions of bushels. ​(C) Find the equilibrium point.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter4: Linear Functions
Section4.2: Modeling With Linear Functions
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At a price of
​$2.27
per​ bushel, the supply of a certain grain is
7400
million bushels and the demand is
7600
million bushels. At a price of
​$2.34
per​ bushel, the supply is
7800
million bushels and the demand is
7500
million bushels.
​(A) Find a​ price-supply equation of the form
p=mx+​b,
where p is the price in dollars and x is the supply in millions of bushels.
​(B) Find a​ price-demand equation of the form
p=mx+​b,
where p is the price in dollars and x is the demand in millions of bushels.
​(C) Find the equilibrium point.
​(D) Graph the​ price-supply equation,​ price-demand equation, and equilibrium point in the same coordinate system.
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Given,

At a price of $2.27 per​ bushel, the supply of a certain grain is 7400 million bushels and the demand is 7600 million bushels. At a price of ​$2.34 per​ bushel, the supply is 7800 million bushels and the demand is 7500million bushels.

A.

The price-supply equation passes through the points 7400, 2.27  &  7800, 2.34.

Equation is,

p-2.27=2.34-2.277800-7400x-7400   Equation of a line passing through the points a, b & c, d is y-b=d-bc-ax-ap=0.000175x-7400+2.27p=0.000175x-1.295+2.27p=0.000175x+0.975

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