Construct equations the solutions to which will help Lisa determine
the dimensions of the trunk she can build, with and without a lid.
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Find the solutions of the equations:
| Using a graphic representation. |
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| Using a value table. |
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Transforming the equation into one of the [vertex form]=[constant] type
and using the methods developed in the Equations of the type [vertex-form]=[constant]
task.
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What will be the volume of the trunk with and without a lid?
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Compare the various solutions you obtained using the methods listed above, as well
as the solution you can obtain using the dynamic figure below (for a trunk without a lid).
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How will the results you obtained change if Lisa decides that the
base of the trunk will have a rectangular shape, with one
side twice as long as the other?
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