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Ex7:7,15,27,29
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[IMG]http://i293.photobucket.com/albums/mm67/zaza520/0010-17.jpg[/IMG] [IMG]http://i293.photobucket.com/albums/mm67/zaza520/0011-16.jpg[/IMG] [IMG]http://i293.photobucket.com/albums/mm67/zaza520/0012-15.jpg[/IMG] [IMG]http://i293.photobucket.com/albums/mm67/zaza520/0013-18.jpg[/IMG]
(7a) Let y = ax + b where a and b are constants. When x = 1/2, y = 11 and so a/2 + b = 11 ... (1) When x = 1/4, y = 21 and so a/4 + b = 21 ... (2) Solving, we have a = -40 and b = 31 (b) When x = 1/8, y = -40/8 + 31 = 26 (15a) Let a = kb/√c where k is a constant. When b = 8 and c = 4, 6 = 8k/√4 k = 3/2 (b i) a = (3/2) x 5/√9 = 5/2 (ii) a/b = 2/3 k/√c = 2/3 (3/2) (1/√c) = 2/3 c = 2/3 (27a) Let C = aV + bA where a and b are constants. When V = 27 and A = 6 x 9 = 54 (a cube of side length = 3 m), C = 324 and then 324 = 27a + 54b ... (1) When V = 64 and A = 6 x 16 = 96 (a cube of side length = 4 m), C = 608 and then 608 = 64a + 96b ... (2) Solving, we have a = 3 and b = 5. (b) V = 125 and A = 6 x 25 = 150, so C = 3 x 125 + 5 x 150 = 1125 (29a) From the given, we have E = kN + C where k is a constant. Comparing to the graph of y = mx + c, wher m is the slope and c is the y-intercept of the line, we have, from the given graph, C = 600 (b) From the graph, slope = 10 and therefore k = 10. So E = 10N + 600. (c) When N = 30, E = 900 and hence each player will pay $30.
其他解答:
Ex7:7,15,27,29
發問:
[IMG]http://i293.photobucket.com/albums/mm67/zaza520/0010-17.jpg[/IMG] [IMG]http://i293.photobucket.com/albums/mm67/zaza520/0011-16.jpg[/IMG] [IMG]http://i293.photobucket.com/albums/mm67/zaza520/0012-15.jpg[/IMG] [IMG]http://i293.photobucket.com/albums/mm67/zaza520/0013-18.jpg[/IMG]
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最佳解答:(7a) Let y = ax + b where a and b are constants. When x = 1/2, y = 11 and so a/2 + b = 11 ... (1) When x = 1/4, y = 21 and so a/4 + b = 21 ... (2) Solving, we have a = -40 and b = 31 (b) When x = 1/8, y = -40/8 + 31 = 26 (15a) Let a = kb/√c where k is a constant. When b = 8 and c = 4, 6 = 8k/√4 k = 3/2 (b i) a = (3/2) x 5/√9 = 5/2 (ii) a/b = 2/3 k/√c = 2/3 (3/2) (1/√c) = 2/3 c = 2/3 (27a) Let C = aV + bA where a and b are constants. When V = 27 and A = 6 x 9 = 54 (a cube of side length = 3 m), C = 324 and then 324 = 27a + 54b ... (1) When V = 64 and A = 6 x 16 = 96 (a cube of side length = 4 m), C = 608 and then 608 = 64a + 96b ... (2) Solving, we have a = 3 and b = 5. (b) V = 125 and A = 6 x 25 = 150, so C = 3 x 125 + 5 x 150 = 1125 (29a) From the given, we have E = kN + C where k is a constant. Comparing to the graph of y = mx + c, wher m is the slope and c is the y-intercept of the line, we have, from the given graph, C = 600 (b) From the graph, slope = 10 and therefore k = 10. So E = 10N + 600. (c) When N = 30, E = 900 and hence each player will pay $30.
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