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 in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

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 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.
problem_activity: Task
Chase and his brother like to play basketball.  About a month ago they decided to keep track of how many games they have each won.  As of today, Chase has won 18 out of the 30 games against his brother.
How many games would Chase have to win in a row in order to have a 75% wining record?
How many games would Chase have to win in a row in order to have a 90% winning record?
Is Chase able to reach a 100% winning record?  Explain why or why not.
Suppose that after reaching a winning record of 90% in part (b), Chase had a losing streak.  How many games in a row would Chase have to lose in order to drop down to a winning record below 55% again?


correct_option_index: 3