FA.AREI.12

Graph the solutions to a linear inequality in two variables.

Example Problems
A costume shop designs hats and wigs.

Let
represent the number of hats and represent the number of wigs the shop can produce with its daily supply of fabric: .

The shop wants to design
3000 hats daily. How many wigs at most can the shop produce daily with the remaining supply of fabric?
A publishing company prints newspapers and magazines.

Let x represent the number of newspapers and m represent the number of magazines the company can print with its daily supply of ink cartridges:
.

The company wants to print
8000 newspapers daily. How many magazines at most can the company print daily with the remaining number of ink cartridges?
A cafe serves lattes and fruit smoothies.
Let
represent the number of lattes and represent the number of smoothies the cafe can make with its daily supply of milk: .
The cafe plans to make
2,000 lattes each day. How many smoothies at most can the cafe make each day with the remaining supply of milk?
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