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.
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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.
The pattern increases by 2 squares at every stage. The next three stages after Stage 4 will have 9, 11 and 13 squares. Therefore, the sequence up to Stage 7 is 1, 3, 5, 7, 9, 11, 13.
Let the width be x cm. Then the length is 2x plus 3 cm. Using the perimeter formula gives 2 multiplied by length plus width equals 24. Solving gives width 3 cm and length 9 cm.