Answer:
X= 1984
Step-by-step explanation:
f(x) = 2000(X – 1980) + 10,000
Where,
f(x)= per capita income
x= year
Find x when f(x)= $18,000
f(x) = 2000(X – 1980) + 10,000
18,000 = 2000(X - 1980) + 10,000
18,000 = 2000X - 3,960,000 + 10,000
18,000 = 2000X - 3,950,000
Add 3,950,000 to both sides
18,000 + 3,950,000 = 2000X
3,968,000 = 2000X
Divide both sides by 2000
X= 3,968,000 / 2000
= 1984
X= 1984
Therefore, the per capita income was $18,000 in the year 1984