Tourism in the 1990s Suppose the following table gives the number of people (in thousands) who visited Australia and South Africa in 1998. То Australia South Africa North America 450 180 From Europe 960 960 Asia 1,800 190 Referring to the 1998 tourism figures, assume that the following (fictitious) figures represent the corresponding numbers from 1988. То Australia South Africa North America 490 110 From Europe 91 790 Asia 1,400 60 Take A to be the 3 x 2 matrix whose entries are the 1998 tourism figures and take B to be the 3 x 2 matrix whose entries are the 1988 tourism figures. (a) Compute the matrix A – B. What does this matrix represent? It represents changes in number of visitors in 1998. It represents changes in number of visitors in 1988. It represents changes in number of visitors over the period 1988–1998. It represents changes in number of visitors over the period 1998-2008. (b) Assuming that the changes in tourism over 1988-1998 are repeated in 1998-2008, give a formula (in terms of A and B) that predicts the number of visitors from the three regions to Australia and South Africa in 2008.
Tourism in the 1990s Suppose the following table gives the number of people (in thousands) who visited Australia and South Africa in 1998. То Australia South Africa North America 450 180 From Europe 960 960 Asia 1,800 190 Referring to the 1998 tourism figures, assume that the following (fictitious) figures represent the corresponding numbers from 1988. То Australia South Africa North America 490 110 From Europe 91 790 Asia 1,400 60 Take A to be the 3 x 2 matrix whose entries are the 1998 tourism figures and take B to be the 3 x 2 matrix whose entries are the 1988 tourism figures. (a) Compute the matrix A – B. What does this matrix represent? It represents changes in number of visitors in 1998. It represents changes in number of visitors in 1988. It represents changes in number of visitors over the period 1988–1998. It represents changes in number of visitors over the period 1998-2008. (b) Assuming that the changes in tourism over 1988-1998 are repeated in 1998-2008, give a formula (in terms of A and B) that predicts the number of visitors from the three regions to Australia and South Africa in 2008.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 7P
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Let A be the 3×2 matrix whose entries are the 1998 tourism figures and B be the 3×2 matrix whose entries are the 1988 tourism figures.
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