<PRE><B>Question 44501</B>
Write the slope-intercept equation of the demand line through the ordered pairs (20,000 shirts, $19) and (2000 shirts, $55). Then determine the number of shirts that can be sold at $50 each.

slope = (55-19)/(2000-20000)= 36/-18000= -1/500

Form of the linear is y=mx+b where y=55, x=2000, m=-1/500; find b.

55=-1/500 (2000) + b
55 = -4 +b
b=59

EQUATION: price of shirt =(-1/500)(number of shirts) +59

How many can be sold at $50 each?

50=(-1/500)x+59
-9=-(1/500)x
x=4500 shirts can be sold at $50 each.

Cheers,
Stan H.</PRE>