The Fort Bend Community Theatre is showing a production of Pinocchio. The theatre sells adult tickets for $5 each and child tickets for $2 each. The theatre can hold a maximum of 50 people. In order to make a
profit the theatre must earn at least $250. The system of inequalities that models this relationship is
shown below where a represents the number of adult tickets and c represents the number of child
tickets.
-Identify and write the systems of inequalites.
-Graph this system and then determine two possible combinations of adult and child ticket

Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?