Day 8 examples u5w14
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The document contains two polynomial word problems. The first asks to write a function V(x) to express the volume of a box with dimensions x, x+2, x+10 in terms of x, and find possible x values if the volume is 96 cm^3. The second problem describes a block of ice that is initially 3 ft by 4 ft by 5 ft, and asks to write a function to model reducing each dimension by the same amount to reach a volume of 24 ft^3, and determine how much to remove from each dimension.
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A box has dimensions of length x, width x + 2, and height x + 10. The volume function is V(x) = x(x + 2)(x + 10), which equals 96. Solving this cubic equation yields the possible values of x as 4, 8. So the dimensions of the box are length 4, width 6, height 14 or length 8, width 10, height 18.
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