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Tamlin is learning to become a carpenter. She gets paid $12 per hour for building shelves and $14 per hour for building cabinets. She can work a maximum of 40 hours per week, and she would like to earn at least $250 this week. Lets represent the number of hours she spends building shelves and c represent the number of hours she spends building cabinets. Which system of inequalities could be used to represent the given conditions?

Respuesta :

[tex]\begin{gathered} \text{ Since she can work a maximum of 40 hours per week, the sum of c and s must be less or equal than 40 } \\ s+c\leq40 \\ \text{ And, since "s" represents the hours she spend building shelves and "c" building cabinets,} \\ 12s+14c\text{ represents the week's earnings; and she want at least \$250, } \\ 12s+14c\ge250 \end{gathered}[/tex][tex]\begin{gathered} \text{The system of inequalities must be then} \\ s+c\ge40 \\ 12s+14c\ge250 \end{gathered}[/tex]

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