# At a unit price of $55, the quantity demanded of headphones is 1000 units. At a unit price of$85, the demand drops to 600 units. Assume demand is a linear function. a. find the demand equation. b. above what price will there be no demand? c.What quantity would be demanded if the headphones were free?

At a unit price of $55, the quantity demanded of headphones is 1000 units. At a unit price of$85, the demand drops to 600 units. Assume demand is a linear function.
a. find the demand equation.
b. above what price will there be no demand?
c.What quantity would be demanded if the headphones were free?
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uavklarajo
Let the demand function be ax+b
so
when price is 55\$
55a+b= 1000
and when 85
85a+b= 600
30a=-400
a=-40/3
b=5200/3
(5200-40x)/3
b x=130
c 1733.33