Answer:
244
Step-by-step explanation:
Number of insects at time [tex]t[/tex] = 0 are 100.
Rate of growth of insects = [tex]\frac{2t}8[/tex] insects per day
Time, Number of days = 24 days
To find:
Number of insects or size of insect population after 24 days.
Solution:
Given that rate of growth of insects = [tex]\frac{2t}8[/tex] insects per day
We are given that, [tex]t[/tex] = 24 days
Rate of growth =
[tex]\dfrac{2\times 24}{8} = 2\times 3 = 6[/tex]
Growth in Insect population after 24 days = [tex]24\times 6 = 144[/tex]
Initial population = 100
Therefore, the answer is:
The size of insect population after 24 days = 100 + 144 = 244
