Respuesta :

Answer:

Step-by-step explanation:

You need two years to solve the unknowns in the base equation.

Equation

C(x) = b*a^x

C(x) = cost in any given year.

b = base number

a = exponential base

x = number of years from 1998

Solution

x = 9 [2007]

C(x) = 119789

x = 4 [2002]

c(x) 108497

119789 = b*a^9

108497 = b*a^4   Divide (Cancelling out bs)

119789/108497 = a^(9 - 4)

1.0335538 = a^5    Take the 5th root of both sides.

1.006622462 = a

================

108497 = b*1.006622462^4

108497 = b*1.026754154

108497/1.026754154 = b

105669 = b

============

1999 would make x = 1

C(1) = 105669 * 1.006622462^1

C(1) = 106369.68