20 points ! ! 1. design your own real-world scenario in which the solution requires the pythagorean theorem. use complete sentences to describe the scenario. 2.model your real-world scenario with an equation and a sketch. 3.in two or more complete sentences, explain the steps necessary to solve for the missing value in your real-world scenario. include the solution in your explanation.

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.