SOLUTION: from 1990 to 1998 the manufacturer's shipments for audio cassettes A (in millions) and compact discs C (in millions) can be modeled by the equations: A=-31.8t+322 c=428.8t+110 w

Algebra ->  Trigonometry-basics -> SOLUTION: from 1990 to 1998 the manufacturer's shipments for audio cassettes A (in millions) and compact discs C (in millions) can be modeled by the equations: A=-31.8t+322 c=428.8t+110 w      Log On


   



Question 994020: from 1990 to 1998 the manufacturer's shipments for audio cassettes A (in millions) and compact discs C (in millions) can be modeled by the equations:
A=-31.8t+322
c=428.8t+110
where t is the number of years since 1990. During what year did the number of compact discs shipped surpass the number of audio cassettes shipped?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The point where the two graphs meet is the year, if one looks at t.
-31.8t +322=428.8t + 110
460.6 t= 212
t=0.460. This would be in mid-1990. I wonder if the numbers were copied correctly, but with those equations, that is the value.

graph%28300%2C200%2C-10%2C10%2C-50%2C2000%2C-31.8x%2B322%2C428.8x%2B110%29