Question

Write a function that gives the remaining amount of containments in kilograms, C(t), t hours after Nana started purifying the water

Answer 1

Answer:

$C(t)= \frac{1}{2} kg (2/3) ^ t$

Step-by-step explanation:

Original Question:

• Nana has a water purifier that filters 1/3 of the contaminants each hour. She used it to purify water that had 1/2 kilogram of contaminants. Write a function that gives the remaining amount of contaminants in kilograms, C(t), t hours after Nana started purifying the water.

Explanation:

• Each hour, the water purifier filters 1/3 of the contaminants, meaning that the contaminant reduces by 2/3. If the contaminant was 1kg (for example), the mass would be 2/3 kg after 1 hour- after 2 hours, it'll be 4/9 kg, so we see a pattern. We need to multiply the contaminant by 2/3 every single hour.
• $C(t)= \frac{1}{2} kg (2/3) ^ t$