<u>Answer-</u>
<em>The insect population at the end of week 11 is </em><em>1730</em><em>.</em>
<u>Solution-</u>
A population of insects grows exponentially.
The general form of exponential function is,

Where,
a, b are constants.
Putting the data given in the table, in the the equation in order to get the values of a, b
At (0, 20)



Now the exponential function becomes,

At (1, 30)




Now the equation becomes,

For calculating the number of insects at the end of the 11th week, putting x=11, so


<A = <C = 73
<B = 180 - (<A + C)
6x + 4 = 180 - 2(73)
6x + 4 = 180 - 146
6x + 4 = 34
6x = 30
x = 5
answer
x = 5