Question

Over time, the number of organisms in a population increases exponentially. The table below shows the approximate number of organisms after y years.

y years
1
2
3
4

number of organisms, n
1
55
2
60
3
67
4
75

The environment in which the organism lives can support at most 600 organisms. Assuming the trend continues, after how many years will the environment no longer be able to support the population?

answers can be

12

24

61

82

Answer 1

Does anyone have an answer, I would really like to figure this out.

Answer 2

this looks like a geometric series with common ratio r
nth term = ar^(n-1)

to find the common ratio divide each term by previous :-
60 /55 67/60 and 75/67 should give the same result

Answer 3

actually they dont give exactly the same values

1.091, 1.117 and 1.119

Answer 4

Im going to assume the answer is 12 because the result were closest to 12.

Answer 5

Answers can be 12 | 24 | 61 | 82

Answer 6

its not exactly a geometric

Answer 7

I have no clue, going to be honest 12 seems like the best answer.

Answer 8

i dont think 12 will reach 600

Answer 9

So 61 years.

Answer 10

Never mind, Im going to guess.

Answer 11

the numbers are approximate

Answer 12

if we take r = 1.1
the 555*1.1^24 = approximately 542

so i would go for 24

Answer 13

thats 55*1.1^24

Answer 14

exponential growth can be pretty fast