Algebra 1 Common Core Student Edition, Grade 8-9

Co m m o n Co r e Pe r f o r m a n c e Ta sk

Packaging Lunches

Sandra’s Deli is a very p o p u lar lu n ch spot in th e dow ntow n area. After a great

deal of planning, S andra decides to sell two of th e m ost p o p u lar types of lunches

boxed in a co n tain er m ad e of cardboard lined w ith alu m in u m foil. She will first

sell th e boxed lunches at h e r deli, an d if things go well she w ould like to sell them

in grocery stores.

Sandra is deciding on th e dim ensions to use for th e new

lu n ch box. She sketches th e rectangular box show n in the

diagram at the right. She n eed s the box to h old 355 in.3.

I h e cardboard lined w ith alum inum foil is expensive,

so Sandra w ants th e box to use th e least a m o u n t of

cardboard possible.

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Task D escr i p t i o n

Find th e dim ensions S andra should use for th e lunch box. R ound th e dim ensions

to th e n ea rest h u n d re d th of an inch.

Connecting the Task to the Math Practices

As you com plete th e task, you'll apply several S tandards for M athem atical
Practice.

• You’ll write expressions to m odel the surface area a n d volum e of the box in
  term s of its dim ensions. (MP 4)


• You’ll rewrite an expression for th e surface area in an equivalent form. (MP 2)


• You’ll use a graphing calculator to analyze a function for the surface area, an d
  relate your results to th e original context. (MP 2, MP 5)

MATHEMATICAL

PRACTICES

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Po w er A l g eb r a.co m | Chap t er 11 Rational Expressions and Functions^663