Question

At a unit price of $992, the quantity demanded of a certain commodity is 74 pounds. If the unit price increases to $1034, the quantity demanded decreases by 21 pounds. Find the demand equation (assuming it is linear) where p is the unit price and x is the quantity demanded for this commodity in pounds.

Answer 1

Answer:

Price= -0.79 Quantity demanded +1050.64

Explanation:

x1= 74          x2= 21

y1= $992     y2= $1034

If we have two x values ( in this case the independent variable is quantity demanded) and if we have two Y values ( in this case the dependent variable is price) we can calculate the slope (m) of the equation by using this formula:

m= (y2-y1)/(x2-x1)

m=(1034-992)/ (21-74)

m= -0.79

To find the equation we use this formula:

Y-y1= m (X-x1)

We can use either of the points the problem gives us.

Y-992= -0.79 (X-74)

Y-992= -0.79 X + 58.64

Y= -0.79 X+ 58.64+992

Y= -0.79X +1050.64

Price= -0.79 quantity demanded +1050.64