Question

Algebra 2 word problem- A kernel of popcorn contains water that expands when the kernel is heated,
causing it to pop. The equations below give the "popping volume"y(in cubic centimeters per gram)
of popcorn with moisture content x(as a percent of the popcorn's weight).

hot air popping: y = -0.761x^2 + 21.4x - 94.8
hot oil popping: y = -0.652x^2 + 17.7x -76.0

A) for hot air popping, what moisture content maximizes popping volume? What is the maximum volume?
B) For hot oil popping, what moisture content maximizes popping volume? What is the maximum volume?
C) the moisture content of popcorn t

Answer 1

Sorry, this is done on a graphing calculator I don't know that it can be done easily without it.
A.) max volume moisture content x = 14.06, volume y = 55.65
B.) max volume moisture content x = 13.57, volume y = 44.13
C.) (Sorry, don't know what popcorn t is.
Make sure you have the proper weights and percents labeled.