Apopulation of insects grows exponentially, as shown in the table. suppose the increase in population continues at the same rate. what is the insect population at the end of week 11? round to the nearest whole number. enter your answer in the box. at the end of the week 0 1 2 insect population 20 30 45

Step-by-step explanation:

If a population of insects grows exponentially, then the equation represents this situation, where x is the number of weeks and y is the population.

When x=0, y=10, then  

When x=1, y=30, then  

When x=2, y=45, then

The function that represents situation is  

Now find y when x=11:

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2