After paying $5 to play, a single fair die is rolled, and you are paid back the number of dollars corresponding to the number of dots facing up. for example, if a 6 turns up, $6 is returned to you for a net gain, or payoff, of $1, if a 4 turns up, $4 is returned for a net gain of minus$1, and so on. what is the expected value of the game? is the game fair? the expected payoff of the game is $ nothing.

Derek purchased a new gym membership. it costs him seven dollars a month plus two dollars for every time that he visits the gym. he wants to spend less than 25 dollars a month to visit the gym. write an inequality that models the situation using the variable v for the number of visits per month. also find the maximum number of visits he can make to the gym and still keep his cost below 25 dollars a month.