Q. 102 - Precalculus Enhanced with Graphing Utilities

Question

Income Tax Suppose that $I\left(x\right)$ represents the income of an individual in year $x$ before taxes and $T\left(x\right)$ represents the individual’s tax bill in year $x$. Determine a function $N$ that

represents the individual’s net income (income after taxes) in year $x$.

Step-by-Step Solution

Answer

A function $N$ that represents the individual’s net income (income after taxes) in year $x$ is $N\left(x\right)=I\left(x\right)·T\left(x\right)$.

Step 1. Given Information

Income Tax Suppose that $I\left(x\right)$ represents the income of an individual in year $x$ before taxes and $T\left(x\right)$ represents the individual’s tax bill in year $x$. Determine a function $N$ that

represents the individual’s net income (income after taxes) in year $x$.

Step 2. I ( x ) represents the income of an individual in year x before taxes.

$T\left(x\right)$ represents the individual’s tax bill in year x.

A function $N$ that represents the individual’s net income (income after taxes) in year $x$.

$N\left(x\right)=I\left(x\right)·T\left(x\right)$