Algebra II
posted by Lucy .
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.

Set the function given for P equal to 20,000, and solve for t.

Would the answer be 12 weeks?
thanks.