Question
how do we know when to use the formula y=ax^b and how do we know that the situation is not doubling
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Quantitative analysis
Whenever the question has needed the formula, the examiner has given the value of b.
Otherwise it is just looking at the numbers involved - you can always use the formula but if it is 2,4,8 or 16 then it is obviously quicker to use the doubling rule.
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