Problema Solution

RESEARCH HAS SHOWN THAT AT A PRICE OF $230,100 NUMBER OF TV'S ARE SOLD AND IF THE PRICE IS REDUCED TO $190, THEN 200 NUMBER OF TV'S ARE SOLD.WHAT IS THE EQUATION THAT REPRESENTS THIS DEMAND CURVE AND STATE IT slope intercept FORM OF linear equation

P=mx+b

Answer provided by our tutors

Let D=mp+c

where D -no. sold

m=slope

p=price

c= y intercept

for first data set , we have p=230, D=100

equation 1

100=230*m+c

second data set , p=190, D=200

equation 2

200=190*m+c

subtraction equation 1 from 2 , we get

100=-40m

m=-2.5

so, c= 100-230m (using 1)

c=675

So, D=-2.5p+675 represents the demand as a function of price