Question: iv. II. Logarithms and Exponentials Test 2023 i. Question 3 A large block of ice is melting and its mass, M kg, after t hours

iv. II. Logarithms and Exponentials Test 2023 i. Question 3 A large block of ice is melting and its mass, M kg, after t hours from when the ice started to melt is given by the formula M = 540 ekt where k is a constant. State the mass of the ice when melting started. After 2 hours, the mass is 375 kg. Find the exact value of k, giving your answer in the form In () where m and n are integers. Show all of your working. How much ice is left after 3 hours? Explain why this formula is not suitable in the long run. [1] [3] [2] [1]

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