The area of a rectangle is length multiplied by breadth. For breadths 12 cm, 10 cm and 8 cm, the areas are 156 square cm, 130 square cm and 104 square cm respectively. The linear pattern is 13b.
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The rally begins with 120 members. Every hour, 9 members leave the group. Therefore, after n hours, the number of remaining members is represented by the expression 120 minus 9n. This shows a linear decay pattern.
The student already has 500 rupees in her account. Every month, 150 rupees are added. Therefore, after n months, the total amount becomes 500 plus 150n rupees. This expression represents a linear pattern.
The fare for the first 2 km is 25 rupees. After that, the fare increases by 15 rupees per km. For 10 km, the extra distance is 8 km. Therefore, the total fare is 145 rupees.
Bela starts with 100 rupees and spends 5 rupees daily. Let the number of days be x. Then 100 minus 5x equals 40. Solving gives x equal to 12. Therefore, she will have 40 rupees after 12 days.