A chef aboard a luxury liner wants to cook a goose. The time t in hours to cook a goose at 180°C depends on the mass of the goose m in kilograms according to the formula t=amb where a and b are constants. The table below gives the times observed to cook a goose at 180°C.
Mass, m (kg) | Time, t (h) 3.00 | 2.75 6.00 | 3.75
(i) Using the data in the table, determine both a and b to two decimal places. (ii) Suppose that the chef wants to cook a goose with a mass of 8.00 kg at 180°C. How long will it take until his goose is cooked?
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