The function T(x) = .15(x-10850)+870

Question

The function represents the federal income tax bill T of a single person whose adjusted gross income in 2011 was x dollars for income between 10850 and 37500 inclusive. What was the single filer's adjusted gross income if his or her tax bill was 2996.25? 

 

Answer 1

Hi,

 

set T(x) = 2996.25 and solve for x

 

.15(x - 10850) + 870 = 2996.25

 

.15x - 1627.50 + 870 = 2996.25

 

.15x = 3753.75

 

x = 25025