A broken furnace will cost $300 to repair. A new, more efficient furnace will cost $2,700. The present furnace averages about $700 per year for energy cost and the new furnace would average about $400 per year. The total cost, c, of either repairing the broken furnace or buying a replacement plus energy cost over n years can
be represented by an equation. Write and graph a system to find how many years it would take for the
total cost of repair to equal the total cost of replacement.

QUESTION: it would take ___?___ years for the total cost to repair to equal the total costs of replacement.

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.