Problema Solution

The income tax T owed in a certain state is a function of the taxable income I, both measured in dollars. The formula is given below.

T = 0.14I − 400

(a) Express using functional notation the tax owed on a taxable income of $13,000.

T( )

Calculate the tax owed on a taxable income of $13,000.

$

(b) If your taxable income increases from $13,000 to $16,000, by how much does your tax increase?

$

(c) If your taxable income increases from $16,000 to $19,000, by how much does your tax increase?

$

Answer provided by our tutors

T(13000) = 0.14(13000) - 400

T(13000) = 1420


T(16000) = 1840

1840 - 1420 = 420

$420 increase


T(19000) = 2260

2260 - 1840 = 840

$840 increase