| 
 
 
| Question 130112:  Suppose that a market research company finds that at a price of p = $20, they would sell x = 42 tiles each month. If they lower the price to p = $10, then more people would purchase the tile, and they can expect to sell x = 52 tiles in a month’s time. Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. (Hint: Write an equation using two points in the form (x,p)).
 Answer by stanbon(75887)
      (Show Source): 
You can put this solution on YOUR website! Suppose that a market research company finds that at a price of p = $20, they would sell x = 42 tiles each month. If they lower the price to p = $10, then more people would purchase the tile, and they can expect to sell x = 52 tiles in a month’s time. Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. (Hint: Write an equation using two points in the form (x,p)). ----------------------
 Points: (42,20) (52,10)
 -----------------------
 slope = (10-20)/(52-42) = -10/10 = -1
 ===============
 Form p = mx + b
 20 = -(42)+b
 b = 62
 ----------------
 p = -x+62
 ===============
 Cheers,
 Stan H.
 | 
  
 | 
 |