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Advanced Math / Nonlinear equations in one variable and systems of equations in two variables Difficulty: Medium

$T equals, 0 point 0 1 times, open parenthesis, P minus 40,000, close parenthesis$

In a city, the property tax T, in dollars, is calculated using the formula above, where P is the value of the property, in dollars. Which of the following expresses the value of the property in terms of the property tax?

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Explanation

Choice D is correct. To express the value of the property in terms of the property tax, the given equation must be solved for P. Multiplying both sides of the equation by 100 gives $100 T equals, P minus 40,000$ . Adding 40,000 to both sides of the equation gives $100 T plus 40,000, equals P$ . Therefore, $P equals, 100 T plus 40,000$ .

Choice A is incorrect and may result from multiplying 40,000 by 0.01, then subtracting 400 from, instead of adding 400 to, the left-hand side of the equation. Choice B is incorrect and may result from multiplying 40,000 by 0.01. Choice C is incorrect and may result from subtracting instead of adding 40,000 from the left-hand side of the equation.