Candy Consumption and Mathematical Models

The video tutorial discusses a problem where Shelly receives 160 pieces of candy and eats half each day. Initially, she consumes half the candy on the first day, and her mother warns her it will only last one more day at that rate. Shelly devises a plan to eat half of the remaining candy each day, believing it will last indefinitely. The video explores the mathematical evaluation of this strategy, showing that after a week, only 1.25 pieces remain. It further analyzes the long-term implications, explaining that mathematically, the candy will approach zero but never reach it. However, realistically, the candy will not last forever as pieces become too small to consume.

What did Shelly receive for her birthday?

• A bag of candy

• A new toy

• A book

• A gift card

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CCSS.1.G.A.3

How much candy did Shelly eat on the first day?

• None of it

• A quarter of it

• All of it

• Half of it

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What is Shelly's plan to make the candy last longer?

• Share it with friends

• Eat one piece per day

• Eat half of the remaining candy each day

• Eat all the candy at once

What mathematical factor represents Shelly's daily candy consumption?

• 0.75

• 0.25

• 1.0

• 0.5

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CCSS.3.OA.A.3

How many pieces of candy does Shelly have left after one week?

• 5 pieces

• 0 pieces

• 10 pieces

• 1.25 pieces

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CCSS.3.OA.A.3

What mathematical concept describes the candy amount approaching zero?

• Asymptote

• Integral

• Derivative

• Limit

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CCSS.HSF-LE.A.1C

Will the candy mathematically ever reach zero?

• It will stay constant

• Yes, it will reach zero

• No, it will approach zero but never reach it

• It will increase

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In reality, why won't the candy last forever?

• Shelly will stop eating it

• The pieces will become too small to eat

• Shelly will give it away

• The candy will multiply

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What should students do if they have questions about the material?

• Wait until the exam

• Ignore them

• Search online

• Ask questions in class

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What is the key takeaway from Shelly's candy problem?

• Candy lasts forever

• Mathematical models can predict outcomes

• Shelly should eat more candy

• Eating candy is unhealthy

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CCSS.HSF.BF.A.2