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A population of insects grows exponentially, as shown in the table. Suppose the increase in population continues at the same rate.
from the given table
when x=0 , y=20
when x= 1 , y = 30
We use this information to find exponential growth equation
General form of exponential growth is
WE plug in the given values and find out value of a and b
when x=0 , y=20
20 = a
Now we find out b
when x= 1 , y = 30
divide both sides by 20
So exponential function becomes
Now we find the insect population at the end of week 11
We plug in 11 for x
Round the answer to nearest whole number
1730 is the insect population at the end of week 11