A.EI.2.f

Create a system of two linear inequalities in two variables to represent a contextual situation.

Example Problems
Pierre wants to make tables and chairs.

He has a total of
220 wooden boards and 760 nails. represents the number of tables x and chairs m he can make with 220 wooden boards.

represents the number of tables and chairs he can make with 760 nails.

Does Pierre have enough boards and nails to make
9 tables and 5 chairs?
Brenda wants to knit scarves and mittens.

She has a total of
500 yards of yarn and 150 hours. represents the number of scarves s and mittens m she can knit with 500 yards of yarn.

represents the number of scarves and mittens she can knit within 400 hours.

Does Brenda have enough yarn and hours to produce
60 scarves and 50 mittens?
Harvey wants to produce toy robots and drones.

He has a budget of
$12,000 and 800 labor hours. represents how many robots x and drones m he can make with $12,000.

represents how many robots and drones he can make within 800 hours

Does Harvey have enough budget and hours to produce
50 robots and 30 drones?
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