A hive of wasps is growing so that the total number of wasps present, A, after a
number of weeks, t, is shown:
t: 5 10 15 20 25 30
A: 140 200 280 400 570 800
The food supply available is such that it can feed A wasps at any given time, t (weeks).
t: 5 10 15 20 25 30
A: 440 480 520 560 600 640
At what point in time are the wasp population and food supply balanced.
Please show your working.
number of weeks, t, is shown:
t: 5 10 15 20 25 30
A: 140 200 280 400 570 800
The food supply available is such that it can feed A wasps at any given time, t (weeks).
t: 5 10 15 20 25 30
A: 440 480 520 560 600 640
At what point in time are the wasp population and food supply balanced.
Please show your working.
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the question is confusing and I am not very sure about my answer:
The food won't be enough for the wasp somewhere between week 25 and week 30.
Let's assume a linear growth of the population of wasps between these two weeks:
Every week the wasp population grows by (800 - 570)/(30-25) = 46 wasps per week
however, the food grows at a rate of (640 - 600)/(30-25) = 8 per week
so at week 25, food is enough for all the wasps
But at week 26, The food won't be enough anymore
Wasp count would be 616
Food Count would be 608
this is where the balancing would start
The food won't be enough for the wasp somewhere between week 25 and week 30.
Let's assume a linear growth of the population of wasps between these two weeks:
Every week the wasp population grows by (800 - 570)/(30-25) = 46 wasps per week
however, the food grows at a rate of (640 - 600)/(30-25) = 8 per week
so at week 25, food is enough for all the wasps
But at week 26, The food won't be enough anymore
Wasp count would be 616
Food Count would be 608
this is where the balancing would start