Answer:
It would take 6 days for 500 students to be affected.
Step-by-step explanation:
Given that:
1. Seven kids returned with the virus.
2. The aggressive virus spreads at 130% each day.
We want to find how many days until 500 students are infected by the virus.
First day:
7 students have the virus, 130% of 7 student will contract the virus again.
130% of 7 = (130/100) × 7
= 1.3 × 7 = 9.1 ≈ 9
9 new students are affected
New total affected = 7 + 9 = 16 students.
Day 2:
Affected = 1.3 × 16 = 20.8 ≈ 20
New total affected = 20 + 16 = 36
Day3
Affected = 1.3 × 36 = 46.8 ≈ 46
New total affected = 36 + 46 = 82
Day4
Affected = 1.3 × 82 = 106.6 ≈ 106
New total affected = 106 + 82 = 188
Day5
Affected = 1.3 × 188 = 244.4 ≈ 244
New total affected = 244 + 188 = 432
Day6
Affected = 1.3 × 432 = 561.6 ≈ 561
New total affected = 561 + 432 = 993
Therefore, it would take 6 days for 500 students to be affected.
