Steve needs to take at least 24 milligrams of calcium, 15 milligrams of iron, and 16 milligrams of vitamins. Which ordered pairs of values are solutions for the given system inequalities, where x represents the number of spoonfuls of brand A that Steve takes and y represents the number of spoonfuls of brand B that Steve takes? Select all the correct answers.
we have that x----------------> represents the number of spoonfuls of brand A y----------------> represents the number of spoonfuls of brand B Brand A---------------- > Calcium. Iron Vitamins ------ > 5 4 7 milligrams Brand B---------------- > Calcium. Iron Vitamins ------ > 4 6 4 milligrams
Steve needs to take at least Calcium milligrams >=24 Iron milligrams >=15 Vitamins milligrams >=16
I proceed to calculate the system inequalities
for Calcium 5x+4y>=24
for iron 4x+6y>=15
for Vitamins 7x+4y>=16
using a graph tool to solve the system of inequalities see the attached figure
the answer is the point (1,5) and the point (4,1) are solution