The function T(x)=0.15(x-1500)+150 represents the tax bill T of a single person who's adjusted gross income is x dollars for income between $1500 and $52,200, inclusive.

a) what is the domain of this linear function?
b) what is a single filer's tax bill if the adjusted gross income is $1900
c) Which variable is independent and which id dependent?
d) Graph the linear function over the domain specified in part (a)
e) What is a single filer's adjusted gross income if the tax bill is $3975

Question

The function T(x)=0.15(x-1500)+150 represents the tax bill T of a single person who's adjusted gross income is x dollars for income between $1500 and $52,200, inclusive.

a) what is the domain of this linear function?
b) what is a single filer's tax bill if the adjusted gross income is $1900
c) Which variable is independent and which id dependent?
d) Graph the linear function over the domain specified in part (a)
e) What is a single filer's adjusted gross income if the tax bill is $3975

anonymous · Answer

The domain is from [1500,52200)
The tax bill is (.15)(1900-1500)+150=.15(400)=$60
The independent variable is the income and dependent is tax bill

anonymous · Answer

To graph the line you would find the endpoints which are at (1500,150) and (52200, 7755)
The adjusted gross income would be found by putting 3975 in for T(x) So solving you would get $29000

anonymous · Answer

thank you!

anonymous · Answer

Is this for economics?

anonymous · Answer

for math not in economics yet.

anonymous · Answer

Ok I was just a bit surprised. Arent you in calculus?

anonymous · Answer

I was but then I was placed low for my entrance for college. Which sucks!! but then again math isn't my subject.

anonymous · Answer

Well ill see what i can do to help. Currently i have All A's and 3 B's D:

anonymous · Answer

hahaha wow you really are smart! did you get the text?