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A company that sells prefabricated homes ships the frames for each home in large shipping containers. Each shipping container is in the shape of a rectangular prism and its volume can be represented by the polynomial expression 5x3 + 7.5x2, where x is the width of the shipping container.

If the length of the shipping container is five times the width, write the expression that represents the height of the shipping container in terms of its width, x.



Answer :

jcherry99

Answer:

Step-by-step explanation:

Comment

Volume = 5x^3 + 7.5x^2

The width is x

The length is 5x

The height is found by dividing the volume by the width * the length.

Solution

h = Volume/ (length * width)

h = 5x^3 + 7.5 x^2

     =============

        5x*x

h = 5x^3/5x^2 + 7.5x^2/5x^2

Answer

h = x + 1.5        

Comment

Look at how the cancellations take place. The left division cancels the 5s and two of the three xs. The right division cancels the x^2 and 7,5/5 is all that is left.

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