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The height of water in a cylindrical tank is 3 m at the start of summer. The height h m at the end of t months is given by the linear function h(t) = 3 – 0.5t.

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The water level starts at 3 metres and decreases by 0.5 metre every month. After each month, the height reduces regularly. This forms a linear decay pattern because the decrease remains constant with time.

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  1. The height of water in the tank at the start of summer is 3 metres. According to the function h(t) = 3 minus 0.5t, the water level decreases by 0.5 metre every month. For example, after 1 month, the height becomes 2.5 metres and after 2 months, it becomes 2 metres. Since the height decreases by the same amount every month, the pattern represents linear decay. The variable t shows the number of months, while h gives the water height.

     

    For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 2 Introduction to Linear Polynomials (2026-27):

    https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-2/

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