AnswersAlgebra IIMatrices and Sequences

Matrices and Sequences — Test Answers

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Which of the following sets of data would you likely represent with a square matrix?

A
A racquetball club has a tournament where each member plays every other member and represents the scores in a matrix.
B
A teacher wants to write an augmented matrix representing a linear system with four equations and four unknowns.
C
A shoe salesperson wants to use an augmented matrix to represent the quantity of children’s shoes and adult shoes sold at his store for two days.
D
A student wants to write a coefficient matrix representing a linear system with two equations and three unknowns.
24
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The relationship between women’s whole-number shoe sizes and foot lengths is an arithmetic sequence, where A sub n is the foot length in inches that corresponds to a shoe size of n A women’s size 7 fits a foot 9 and 1 third inches long, and a women’s size 12 fits a foot 11 inches long. What is the explicit formula for the arithmetic sequence? Round to the nearest hundredth, if necessary.

A
A sub n is equal to negative 17 point 9 1 plus 2 point 9 9 times open paren n minus 1 close paren
B
A sub n is equal to 7 plus 0 point 3 3 times open paren n minus 1 close paren
C
A sub n is equal to negative 5 plus 2 point 9 9 times open paren n minus 1 close paren
D
A sub n is equal to 7 point 3 5 plus 0 point 3 3 times open paren n minus 1 close paren
25

Which matrix shows the difference of January and February?

A
the 1 by 4 matrix, row 1, column 1, 5 column 2, 0 column 3, negative 2 column 4, 5
B
the 1 by 4 matrix, row 1, column 1, 5 column 2, 0 column 3, 8 column 4, 5
C
the 1 by 4 matrix, row 1, column 1, 7 column 2, 0 column 3, 8 column 4, 5
D
the 1 by 4 matrix, row 1, column 1, 5 column 2, negative 6 column 3, 8 column 4, 5

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