The tickets for a school play cost $8 for adults and $5 for students. the organizers of the school must make at least $3000 to cover the cost of the set construction, costumes, and programs.

a. write a system of linear inequalities for the number of each type of ticket sold.

c. if the organizers sell out and sell twice as many student tickets as adult tickets, can they reach their goal? explain how you got your answer.

Data for the height of a model rocket launch in the air over time are shown in the table. darryl predicted that the height of the rocket at 8 seconds would be about 93 meters. did darryl make a good prediction? yes, the data are best modeled by a quadratic function. the value of the function at 8 seconds is about 93 meters. yes, the data are best modeled by a linear function. the first differences are constant, so about 93 meters at 8 seconds is reasonable. no, the data are exponential. a better prediction is 150 meters. no, the data are best modeled by a cubic function. a better prediction is 100 meters.