Apopulation of insects grows exponentially. initially, there were 20 insects and the population of the insects grew by 50% every week. use a function p(t)p(t) that represents the insect population at the end of t weeks. what is the insect population at the end of week 12?

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

c) yes, because of asa or aas