Math Problem Statement

The equation is this 𝑐(𝑡) = 9 − 90 000 ( 1 ), where c is

10 000 􏰂3􏰁 a) When will the concentration of pollutant in the pond reach 6 𝑘𝑔/𝑚3 ?

measured in kilograms per cubic metre.

b) What will happen to the concentration of pollutant over time?

[2 marks]

Solution

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Math Problem Analysis

Mathematical Concepts

Exponential Functions
Logarithms
Asymptotic Behavior

Formulas

Exponential decay formula

Theorems

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Suitable Grade Level

Grades 11-12