(1) You are selling bags of popcorn to raise money for a school field trip. Cheesy popcorn bags cost $5 each and the caramel corn costs $7 per bag. Your goal is to raise at least $250 and you only have enough caramel corn to
make 12 bags. Write a system of inequalities that would represent how much of each type of popcorn you could
sell.

The edge of a cube was found to be 30 cm with a possible error in measurement of 0.4 cm. use differentials to estimate the maximum possible error, relative error, and percentage error in computing the volume of the cube and the surface area of the cube. (round your answers to four decimal places.) (a) the volume of the cube maximum possible error cm3 relative error percentage error % (b) the surface area of the cube maximum possible error cm2 relative error percentage error %