Using data from the Internal Revenue Service, the per capita tax burden T (in hundreds of dollars) can be described by , where t is the number of years past 1980. Find the value of T in 1990. Round your answer to the nearest dollar.
A) $4,127
B) $2,500
C) $4,160
D) $4,660
E) $3,660

Question

Using data from the Internal Revenue Service, the per capita tax burden T (in hundreds of dollars) can be described by  , where t is the number of years past 1980. Find the value of T in 1990. Round your answer to the nearest dollar. ​
A) $4,127 
B) $2,500 
C) $4,160 
D) $4,660 
E) $3,660

Quizplus · Accepted Answer

To find the value of T in 1990, we need to substitute t=10 in the given formula:

T = 285.8 + 70.2 ln(t+1)

T = 285.8 + 70.2 ln(10+1)

T = 285.8 + 70.2 ln(11)

T ≈ 4160.02

Rounding to the nearest dollar, we get T ≈ $4,160. Therefore, the best choice is C).

Using Data from the Internal Revenue Service, the Per Capita