Tourism in the 1990s Suppose the following table gives the number of people (in thousands) who visited Australia and South Africa in 1998. To Australia South Africa From North America 430 200 Europe 940 960 Asia 1,800 210 Referring to the 1998 tourism figures, assume that the following (fictitious) figures represent the corresponding numbers from 1988. To Australia South Africa From North America 490 110 Europe 910 790 Asia 1,400 40 Take A to be the 3 ✕ 2 matrix whose entries are the 1998 tourism figures and take B to be the 3 ✕ 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 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.It represents changes in number of visitors in 1998. (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. To Australia South Africa From North America 430 200 Europe 940 960 Asia 1,800 210 Referring to the 1998 tourism figures, assume that the following (fictitious) figures represent the corresponding numbers from 1988. To Australia South Africa From North America 490 110 Europe 910 790 Asia 1,400 40 Take A to be the 3 ✕ 2 matrix whose entries are the 1998 tourism figures and take B to be the 3 ✕ 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 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.It represents changes in number of visitors in 1998. (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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Tourism in the 1990s Suppose the following table gives the number of people (in thousands) who visited Australia and South Africa in 1998.
| To | Australia | South Africa | |
|---|---|---|---|
| From | North America | 430 | 200 |
| Europe | 940 | 960 | |
| Asia | 1,800 | 210 |
Referring to the 1998 tourism figures, assume that the following (fictitious) figures represent the corresponding numbers from 1988.
| To | Australia | South Africa | |
|---|---|---|---|
| From | North America | 490 | 110 |
| Europe | 910 | 790 | |
| Asia | 1,400 | 40 |
Take A to be the 3 ✕ 2 matrix whose entries are the 1998 tourism figures and take B to be the 3 ✕ 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 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.It represents changes in number of visitors in 1998.
(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.
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