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# Algebra

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1. A model for the average number of cigarettes consumed per person, N, t years after 1900 is:

N= 5.9sin(2.81t+265)+6

Use the model 5.9sin(2.81t+265)+6 to calculate for how many years during the twentieth century the average number of cigarettes smoked per person per day was below 6.

Does anyone have a clear method of how to do this?! Thanks!
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Just quoting in Puddles the Monkey so she can move the thread if needed
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(Original post by Puddles the Monkey)
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3. Find out when the number smoked per day is exactly 6.
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set the function equal to 6 and solve

Once you have that, have a think about when it is below 6.

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Draw a graph for 1900 to 2000. Plot the years when it is 6 exactly, and roughly draw a sketch. You can test the number smoked per day between those years to figure out when it is less and when it is more. Now start counting the years

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