options: Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.

Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law V = IR to highlight resistance R.

Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
problem_activity: A store is having a sale to clear out merchandise. If you spend between $0 and $100, you can take 15% off of your total. If you spend over $100, you can take 25% off of your total.
Write an equation to represent your discounted total if you spend between $0 and $100.
Write an equation to represent your discounted total if you spend over $100.
Which graph best represents the situation?
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