We're trying to solve the following linear function:
The price P of a soft drink is a linear function of the volune v of the cup. A 10-ounce drink sells for 50 cents and a 16-ounce drink sells for 68 cents. Write P as a linear function of v. What should the price be for a 20-ounce drink. Can you PLEASE help me solve this problem - I am at a complete loss.

Thanks!
Beth smith

• P = 20+3v , 80 cents
  
  Since Price P is a linear function of volume v,
  P can be expressed as,
  P = a + b*v ----(1)
  
  When v = 10, P = 50
  50 = a + 10b ----(2)
  
  When v = 16, P = 68
  68 = a + 16b ----(3)
  
  Solving (2) and (3)
  b = 3 and a = 20
  
  So,
  P = 20 + 3v
  
  Price when v = 20
  P = 20 + 3*20
  =80 cents
  
• 10 years agoHelpfull: Yes(0) No(0)