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the volume v (in cubic inches) of a rectangular cardboard box is modeled by the function v(x)= (18-2x)(3-2x)x, where x is the width (in inches) of the box. Determine the values of x for which the model makes sense. Explain your reasoning. (WILL GIVE BRAINLY FOR BEST ANSWER!!!)

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sqdancefan

Answer:

  0 < x < 3/2

Step-by-step explanation:

The dimensions are positive when ...

  18 -2x > 0   ⇒   x < 9

  3 -2x > 0   ⇒   x < 3/2

  x > 0

So, the values of x where the model makes sense are ...

  0 < x < 3/2

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