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This problem may also be modelled using CabriJr on the TI-83/84 series calculator. Click on the graphic below to download the file and try it yourself!

Try having students work in pairs: one generating data points using the CabriJr model and the partner entering these into lists to plot and then to help build their algebraic model!

 

And just wait until you try this with TI-nspire CAS!

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Extension...

  

I decided to extend this problem a little further, and found that I had five different can sizes in my pantry! (Note that my data opposite includes a can of soft drink which is not shown).

Can you pick the odd one out?

Are any of these cans optimal?

 

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