Posted by **Lucy** on Saturday, April 19, 2008 at 11:19am.

An insect population P in a certain area fluctuates with the seasons. It is estimated that P= 17,000 + 4500sin (pi)(t)/52, where t is given in weeks. Determine the number of weeks it would take for the population to initially reach 20,000.

How do I solve this??

Thanks.

- Algebra II -
**bobpursley**, Saturday, April 19, 2008 at 12:01pm
Set the function given for P equal to 20,000, and solve for t.

- Algebra II -
**Lucy**, Saturday, April 19, 2008 at 12:38pm
Would the answer be 12 weeks?

thanks.

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