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Answer: A)
B) H = 5.10
C) Yes
Step-by-step explanation: <u>Exponential</u> <u>Decay</u> <u>function</u> is a model that describes the reducing of an amount by a constant rate over time. Generally, it is written in the form:
A) C is initial quantity, in this case, the initial concentration of DDT. To determine r, using the data given:
Using a natural logarithm property called <em>power rule:</em>
The decay function for concentration of DDT through the years is
B) The value of H is calculated by
Again, using power rule for logarithm:
H = 5.10
Constant H in the half-life formula is H=5.10
C) Using model to determine concentration of DDT in 1995:
y(24) = 0.5
By 1995, the concentration of DDT is 0.5 ppm, so using this model is possible to reduce such amount and more of DDT.