Chapter 1.1, Problem 59E

A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. The graph below shows how the volume of the box in cubic inches, V, is related to the length of the side of the square cutout in inches, x. Suppose the largest possible cutout length is 3.5 inches. Over what interval of xx does the volume of the box decrease as the cutout length gets larger? (Enter your answer as an interval.)

The cost of producing xgallons of Slurm is given by the function ?(?) = 2? + 48. A gallon of Slurm sells for $6 each.How many gallons need to be sold to break-even?

An antique table increases in value according to the function ​v(x)=550​(1.05)x dollars, where x is the number of years after1980 .   a. How much was the table worth in 1980 ​? b. If the pattern indicated by the function remains​ valid, what was the value of the table in 1995 ​? c. Use a table or a graph to estimate the year when this table will reach double its 1980   value.