chole is buying souvenirs on vacation. she wants to spend $70 at most but only has 60 cubic inches of space available in her lugage. if bracelets cost $7 and take up 3 inches of space and t-shirts...

chole is buying souvenirs on vacation. she wants to spend $70 at most but only has 60 cubic inches of space available in her lugage. if bracelets cost $7 and take up 3 inches of space and t-shirts are $5 but take 15 inches of space, write and graph a system of four inequalites that model chloe's possible purchases. letx=number of bracelets and y=number of t-shirts; use a scale of 2 on both axes.

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llltkl | College Teacher | (Level 3) Valedictorian

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x = number of bracelets
y = number of t-shirts

1) For non-negative number of bracelets: `x gt= 0 `

2) For non-negative number of t-shirts: `y gt= 0 `

3) The total amount Chloe spends will be the number of bracelets purchased (x) times 7, plus the number of t-shirts (y) times 5. The total spent must be less than or equal to 70. So,

`7x + 5y lt= 70 `

4) The total amount of space used will be the number of bracelets (x) times 3 cu inches each, plus the number of t-shirts (y) times 15 cu inches. The total amount of space must be less than or equal to 60 cu inches.

`3x + 15y lt= 60 `

The graph:

The small quadrilateral formed by the sides of the both lines towards (0,0) in the bottom left corner in the first quadrant is the feasible region or the solution set.

Sources:

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