Answer: The debt in 1999 is estimated to be 370.5 billions.
Step-by-step explanation:
Since we have given that
Amount the outstanding balance on a particular charge card in 1966 = $156
Amount the outstanding balance on a particular charge card in 2002 = $390
Let the number of year be x
and let the amount of outstanding balance be y
As we know the formula for "Slope ":
Here is the coordinates :(1966,156) and (2002,390)
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{390-156}{20002-1966}\\\\m=\frac{234}{36}\\\\m=6.5[/tex]
now, we know the formula for "Equation of line":
[tex]y-y_1=m(x-x_1)\\\\y-156=6.5(x-1966)\\\\Here,x=1999\\\\y-156=6.5(1999-1966)\\\\y-156=6.5(33)\\\\y-156=214.5\\\\y=214.5+156\\\\y=370.5\ billions[/tex]
Hence, the debt in 1999 is estimated to be 370.5 billions.
