Supply and demand. At a price of $ 2.28 per bushel, the supply of barley is 7,500 million bushels and the demand is 7,900 million bushels. At a price of $ 2.37 per bushel, the supply is 7,900 million bushels and the demand is 7,800 million bushels. (A) Find a price-supply equation of the form p = m x + b . (B) Find a price-demand equation of the form p = m x + b . (C) Find the equilibrium point. (D) Graph the price-supply equation, price-demand equation, and equilibrium point in the same coordinate system .
Supply and demand. At a price of $ 2.28 per bushel, the supply of barley is 7,500 million bushels and the demand is 7,900 million bushels. At a price of $ 2.37 per bushel, the supply is 7,900 million bushels and the demand is 7,800 million bushels. (A) Find a price-supply equation of the form p = m x + b . (B) Find a price-demand equation of the form p = m x + b . (C) Find the equilibrium point. (D) Graph the price-supply equation, price-demand equation, and equilibrium point in the same coordinate system .
Solution Summary: The author calculates the price-supply equation p=mx+b based on two points on the supply line.
Supply and demand. At a price of
$
2.28
per bushel, the supply of barley is 7,500 million bushels and the demand is 7,900 million bushels. At a price of
$
2.37
per bushel, the supply is 7,900 million bushels and the demand is 7,800 million bushels.
(A) Find a price-supply equation of the form
p
=
m
x
+
b
.
(B) Find a price-demand equation of the form
p
=
m
x
+
b
.
(C) Find the equilibrium point.
(D) Graph the price-supply equation, price-demand equation, and equilibrium point in the same coordinate system.
Formula Formula Point-slope equation: The point-slope equation of a line passing through the point (x 1 , y 1 ) with slope m , is given by the following formula: y - y 1 = m x - x 1 Example: The point-slope equation of a line passing through (2, -6) with slope 5 is given by: y - (-6) = 5(x - 2) y + 6 = 5(x - 2)
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