Answer:
You would have approximately 201 insects.
Step-by-step explanation:
To calculate the final population of the insects, you need to first insert the values of each variable you know into the equation. The initial population at time [tex]t=0[/tex] would be 100 insects, the rate of population growth coverted to decimal form would be 0.1, and the elapsed time since time [tex]t=0[/tex] is 7 days. Now the new equation would be [tex]P = 100(e)^{0.1*7}[/tex].
[tex]P = 100(e)^{0.1*7}[/tex]
⇒ [tex]P[/tex] ≈ [tex]100 * 2.01[/tex]
⇒ [tex]P[/tex] ≈ [tex]201[/tex]
You will have 201 insects in 7 days (rounded to the nearest insect).
