Canning Tomato Products. Jaeger Foods produces tomato sauce and tomato paste, canned in small, medium, large, and giant-sized cans. The matrix A gives the size (in ounces) of each container.
The matrix B tabulates one day's production of tomato sauce and tomato paste.
a) Calculate the product AB.
b) Interpret the entries in the product matrix AB.
The equations
The table below shows the y-value for each equation at six different values of x.
What can you conclude from the table?
A. The system has one solution, when x=0.
B. The system has one solution, when x=4.
C. The system has one solution, when x=8.
D. The system has no solution.
Lumber that is used to frame walls of houses is frequently sold in multiples of 2 ft. If the length of a board is not exactly a multiple of 2 ft, there is often no charge for the additional length. For example, if a board measures at least 8 ft, but less than 10 ft, then the consumer is charged for only 8 ft.
(a) Suppose that the cost of lumber is $0.70 every 2 ft. For the function f(x) that determines the price of a board x feet long, find its formula. .
(b) Calculate the cost of boards with lengths of 8.6 ft and 15.1 ft.