Tran Sanders
03/09/2024 · Elementary School

merupakan bilangan minggu selepas permulaan pemerhatian. An entomogist monitoring a grasshopper plaque notices that the area affected by the grasshoppers is given by \( L(n)=1000 \times 2^{0.2 n} \) hectares, such that \( n \) is the number of weeks after the initial observation. (i) Cari luas kawasan awal yang terjejas. Find the original affected area. (ii) Seterusnya, lengkapkan jadual di ruangan jawapan dan dengan menggunakan skal yang sesuai, lakarkan graf \( L \) melawan \( n \) pada grid yang disediakan. Hence, complete the table in answer space and by using an appropriate scale, sketch graph of L against \( n \) on the provided grid. (iii) Berapa lama akan diambil untuk luas kawasan yang terjejas mencapai 16000 hektar? How long will it take for the affected area to reach 16000 hectares?

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(i) The original affected area is 1000 hectares. (ii) The table and graph are as follows: | \( n \) | \( L(n) \) (hectares) | |---------|-----------------------| | 0 | 1000 | | 1 | 1148.7 | | 2 | 1414.2 | | 3 | 1515.7 | | 4 | 1681.8 | | 5 | 2000 | (iii) It will take 20 weeks for the affected area to reach 16000 hectares.

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