SOLUTION: Suppose that the credit remaining on a phone card( in dollars) is a linear function of the total calling time( in minutes). When graphed, the function gives a line with a slope of

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Suppose that the credit remaining on a phone card( in dollars) is a linear function of the total calling time( in minutes). When graphed, the function gives a line with a slope of       Log On


   



Question 403333: Suppose that the credit remaining on a phone card( in dollars) is a linear function of the total calling time( in minutes). When graphed, the function gives a line with a slope of -0.13. There is $22.60 in credit remaining on the card after 20 minutes of calls. How much credit was there after 8 minutes of calls?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let C = credit remaining on card
given:
C%28t%29+=+-.13t+%2B+b
22.6+=+-.13%2A20+%2B+b+
22.6+=+-2.6+%2B++b
b+=+25.2
the equation is C%28t%29+=+-.13t+%2B+25.2
C%288%29+=+-.13%2A8+%2B+25.2
C%288%29+=+-1.04+%2B+25.2
C%288%29+=+24.16
There was $24.16 worth of credit left
Here's a plot:
+graph%28+400%2C+400%2C+-10%2C+25%2C+-10%2C+34%2C+-.13x+%2B+25.2%29+