Adam is packing a suitcase with hardbound and softcoversamples of a book he wrot

Question

Adam is packing a suitcase with hardbound and softcoversamples of a book he wrote to take on a plane. Each hardbound bookis 0.6 kilogram. Each softcover book is 0.3 kilogram. Adam isallowed to have no more than 30 kilograms in his suitcase. Draw agraph to show all possible combinations of books he couldpack. *SHOW HOW TO SOLVE AND GRAPH FOR ALL POINTS* Adam is packing a suitcase with hardbound and softcoversamples of a book he wrote to take on a plane. Each hardbound bookis 0.6 kilogram. Each softcover book is 0.3 kilogram. Adam isallowed to have no more than 30 kilograms in his suitcase. Draw agraph to show all possible combinations of books he couldpack. *SHOW HOW TO SOLVE AND GRAPH FOR ALL POINTS*

Explanation / Answer

Assume he can pack x hardbound book and y softcover book, thenwe have, 0.6x + 0.3y = 30, and we know that x and y are integers, 6x + 3y = 300, 2x + y = 100, so the domain of x is [0, 50], the domain of yis [0,100], if x= 1, y =98; if x = 2, y = 96; if x =3, y = 94; if x = 4, y = 92; if x = 6, y = 90; if x = 7, y = 88; if x = 8, y = 86; if x = 9, y = 84; . . . . if x = 48, y = 4; if x = 49, y =2; if x = 50, y= 0. The graph of the function is in the following webpage: http://www.wolframalpha.com/input/?i=2x+%2B+y+%3D+100

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