Question

If you believe that you learned a lot from the module and you feel that you need more
activities, well this part is for you.
Read and analyze each situation carefully and apply your learnings on representing
real-life situations involving functions including piecewise.
1. Contaminated water is subjected to a cleaning process. The concentration of the
pollutants is initially 5 mg per liter of water. If the cleaning process can reduce the
pollutant by 10% each hour, define a function that can represent the concentration
of pollutants in the water in terms of the number of hours that the cleaning process
has taken place.​

Answer 1

Answer:

16b

Step-by-step explanation:

kash main Street suite is paying attention

Answer 2

f(n) = 0.9ⁿ * 5   mg/litre

Explanation:

• initial concentration = 5mg/l
• reduce the pollutant by 10% per hr

• $\implies$ After 1 hour  $= 5 ( 1 - 10/100) = 0.9 * 5$

• $\implies$ After 2 hours  $= 0.9 * 5 * (1 - 10/100) = 0.9^2 * 5$

• $\implies$ After 3 hours  $= 0.9^2 * 5 * (1 - 10/100) = 0.9^3 * 5$

• $\therefore$ After n hours  $= 0.9^n * 5$

• $f(n) = 0.9^n* 5 mg/litre$ WHERE n = number of hours, f(n) =  Concentration