A manufacturer of open tin boxes wishes to make use of pieces of tin with dimensions 8 in. by 15 in. by cutting equal squares from the four corners and turning up the sides.

Question

a. Let x inches be the length of the side pf the square to be cut out; express the number of cubic inches in the volume of the box as a function of x.

b. what is the domain of the resulting function?

Answer 1

a. v = x (8 - 2x) (15 - 2x)

b. x must be less than 4 (the point where the 2nd factor goes to zero)

Answer 2

B.What is the domain of the resulting function

Answer 3

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