Chapter 1.5, Problem 53PE

Millage rate is the amount per $\text{\$1000}$ that is often used to calculate property tax. For example, a home with a $\$60,000$ taxable value in a municipality with a 19 mil tax rate would require $\left(\text{0}\text{.019}\right)\left(\text{\$60,000}\right)\text{=\$1140}$ in property taxes. In one county, homeowners pay a flat tax of $\text{\$172}$ plus a rate of 19 mil on the taxable value of a home.

a. Write a linear function that represents the total property tax $T\left(x\right)$ for a home with a taxable value of $x$ dollars.

b. Evaluate $T\left(80,000\right)$ and interpret the meaning in the context of this problem.