The function T(x) = 0.15(x-8270)+827 represents the tax bill T of a single person whose adjusted gross income is x dollars for income between $8270 and $41,100, 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 $25,000? (c) Which variable is independent and which is 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 $3700.70? (f) Interpret the slope. (a) The domain of T(x) is (Type your answer in interval notation.) (b) A single filer's tax bill would be s if the adjusted gross income is $25,000. (Type an integer or a decimal.) (c) Which variable is independent and which is dependent? O A. The adjusted gross income, x, is the dependent variable and the tax bill, T, is the independent variable. O B. The adjusted gross income, x, is the independent variable and the tax bill, T, is the dependent variable. (d) Choose the correct graph below. O A. 7000 Q * G 46000 O B. 7000 46000 Q G (e) A single filer's adjusted gross income would be $ if the tax bill is $3700.70. (Type an integer or a decimal.) (f) For each additional dollar of taxable income between Sand S the tax bill of a single person by S O C. Ay 7000+ 46000 ✔ O D. 7000 Ay 46000 Q Q
The function T(x) = 0.15(x-8270)+827 represents the tax bill T of a single person whose adjusted gross income is x dollars for income between $8270 and $41,100, 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 $25,000? (c) Which variable is independent and which is 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 $3700.70? (f) Interpret the slope. (a) The domain of T(x) is (Type your answer in interval notation.) (b) A single filer's tax bill would be s if the adjusted gross income is $25,000. (Type an integer or a decimal.) (c) Which variable is independent and which is dependent? O A. The adjusted gross income, x, is the dependent variable and the tax bill, T, is the independent variable. O B. The adjusted gross income, x, is the independent variable and the tax bill, T, is the dependent variable. (d) Choose the correct graph below. O A. 7000 Q * G 46000 O B. 7000 46000 Q G (e) A single filer's adjusted gross income would be $ if the tax bill is $3700.70. (Type an integer or a decimal.) (f) For each additional dollar of taxable income between Sand S the tax bill of a single person by S O C. Ay 7000+ 46000 ✔ O D. 7000 Ay 46000 Q Q
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The function T(x) = 0.15(x-8270)+827 represents the tax bill T of a single person whose adjusted gross income is x dollars for income between $8270 and $41,100, 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 $25,000?
(c) Which variable is independent and which is 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 $3700.70?
(f) Interpret the slope.
(a) The domain of T(x) is.
(Type your answer in interval notation.)
(b) A single filer's tax bill would be $ if the adjusted gross income is $25,000.
(Type an integer or a decimal.)
(c) Which variable is independent and which is dependent?
O A. The adjusted gross income, x, is the dependent variable and the tax bill, T, is the independent variable.
O B. The adjusted gross income, x, is the independent variable and the tax bill, T, is the dependent variable.
(d) Choose the correct graph below.
O A.
7000+
0-
0
•
*
46000
Q
O B.
Av
7000+
0
•
46000
Q
(e) A single filer's adjusted gross income would be $ if the tax bill is $3700.70.
(Type an integer or a decimal.)
(f) For each additional dollar of taxable income between $ and $ the tax bill of a single person
by $
C
O C.
7000+
↑⁹
7
of I
0
46000
Q
O D.
7000
of
0
46000
Ⓡ
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