SOLUTION: An insect population P in a certain area fluctuates with the seasons. It is estimated that P=17,000 + 4500sin(piT)/52, where T is given in weeks. Determine the number of weeks it w

Question 350612: An insect population P in a certain area fluctuates with the seasons. It is estimated that P=17,000 + 4500sin(piT)/52, where T is given in weeks. Determine the number of weeks it would take for the population to initially reach 20,000?
A.) 12 weeks
B.) 692 weeks
C.) 38 weeks
D.) 42 weeks
I don't understand how I would go about solving this so any help is appreciated! Thank You!!!
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
You have an equation that gives you an output of P with a given input T.
You're given P and need to find T.
Use the equation.

Find the angle (in radians) whose sine is 2/3.

Now solve for T.

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