Final answer:
To determine which method will result in the fewest insects at the party, we need to compare the effectiveness of the insect zapper and introducing dragonflies.
Step-by-step explanation:
To determine which method will result in the fewest insects at the party, we need to compare the effectiveness of the insect zapper and introducing dragonflies. The insect zapper zaps 15% of the insects every day, while the dragonflies eat 100 insects every day.
After 4 days, the number of insects remaining with the zapper can be calculated using the formula:
Remaining insects = Initial insects × (1 - daily zapping rate)^number of days
On the other hand, the number of insects remaining with the dragonflies can be calculated by multiplying the daily number of insects eaten by the number of days:
Remaining insects = Initial insects - (daily insects eaten × number of days)
By comparing the two methods, we can determine which one will result in the fewest insects at the party.