Let Q = f(t) = 20(0.96) t/3 be the number of grams of aradioactive substance rem

Question

Let Q = f(t) = 20(0.96)t/3 be the number of grams of aradioactive substance remaining after t years. a) Describe the behavior of the radioactive substance as afunction of time. b) Evaluate f(8). Explain the meaning of this quantityin practical terms. c) Find a formula for f-1(Q) in terms of Q. d) Evaluate f-1(8). Explain the meaning ofthis quantity in practical terms. a) Describe the behavior of the radioactive substance as afunction of time. b) Evaluate f(8). Explain the meaning of this quantityin practical terms. c) Find a formula for f-1(Q) in terms of Q. d) Evaluate f-1(8). Explain the meaning ofthis quantity in practical terms.

Explanation / Answer

a) Describe the behavior of the radioactive substance as afunction of time. function decreases with increase in time
b) Evaluate f(8). Explain the meaning of this quantity inpractical terms.
f(8) = 20(0.96)8/3             20(.896857)             =17.9 After 8 years, a 20 gram radioactive substance woulddeteriorate to 17.9 grams c) Find a formula for f-1(Q) in terms of Q. f(t) = 20(0.96)t/3    let f(t) bey I will finish later. I promise             20(.896857)             =17.9 After 8 years, a 20 gram radioactive substance woulddeteriorate to 17.9 grams c) Find a formula for f-1(Q) in terms of Q. f(t) = 20(0.96)t/3    let f(t) bey I will finish later. I promise

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