Which is equal to x^3-8
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Given:
Nana has a water purifier that filters of the contaminants each hour.
Water has contaminants =
To find:
The function that gives the remaining amount of contaminants in kilograms, C(t), t hours after Nana started purifying the water.
Solution:
Let C(t) be the remaining amount of contaminants in kilograms after t hours.
Initial amount of contaminants =
Decreasing rate is .
Using the exponential decay model:
where, is initial amount of contaminants, r is the decreasing rate and t is time in hours.
Substituting the values, we get
Therefore, the required function is .