In Exercises 25-60 solve the problem by first setting up a...

In Exercises $25-60$ solve the problem by first setting up a proportion or an equation. Round off your answers to the nearest hundredth. Lena owns a home in a town in which the property tax rate is $\$ 6.58$ per $\$ 1,000$ of assessed value. Lena's home is assessed at $\$ 187,500,$ and she receives a tax bill for $\$ 1,357.85 .$ Is her tax bill correct? If not, what should it be?

In Exercises $25-60$ solve the problem by first setting up a proportion or an equation. Round off your answers to the nearest hundredth.
Lena owns a home in a town in which the property tax rate is $\$ 6.58$ per $\$ 1,000$ of assessed value. Lena's home is assessed at $\$ 187,500,$ and she receives a tax bill for $\$ 1,357.85 .$ Is her tax bill correct? If not, what should it be?

Key Concepts

Proportional Reasoning

This concept involves understanding that two quantities have a constant ratio to each other. In many real-life scenarios, such as calculating taxes based on assessed property values, the relationship between the tax rate and the assessed value is proportional. By recognizing this relationship, one can set up a proportion or equation to solve for an unknown quantity.

Unit Rates

Unit rates represent a ratio where one of the quantities is 'one unit.' In this context, the tax rate is given as a specific amount per $1,000 of assessed value. Grasping unit rates helps with scaling the rate to match different total amounts, which is essential for correctly determining the overall tax.

Equation Setup

Setting up an equation is integral to solving problems that involve proportional relationships. It involves translating the given information into a mathematical statement (or proportion) that represents the relationship between variables. In such problems, establishing the correct equation is crucial to finding the right answer.

Rounding Off

Rounding involves adjusting a numerical value to a certain degree of precision. In many financial calculations, including tax computations, results are rounded to the nearest hundredth (two decimal places). This ensures that the answer is both practical and conforms to common financial practices.

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