SOLUTION: D is a linear function. Customers will purchase 300 toys at $4.75 a piece, and will purchase 1,200 toys at $1.00. Give the domain of D, and solve for D(q)

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Question 53448: D is a linear function. Customers will purchase 300 toys at $4.75 a piece, and will purchase 1,200 toys at $1.00. Give the domain of D, and solve for D(q)
Answer by stanbon(48568) About Me  (Show Source):
You can put this solution on YOUR website!
D is a linear function. Customers will purchase 300 toys at $4.75 a piece, and will purchase 1,200 toys at $1.00. Give the domain of D, and solve for D(q).
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You have two points: (300,4.75), (1200,1.00)
slope=[4.75-1.00]/[300-1200]=[3.75/-900]
1.00=(-3.75/900)1200+b
1=-3.75(3/4)+b
b=1+2.8125
b=3.8125
EQUATION:
D=(-3.75/900)q+3.8125
Cheers,
Stan H.