Solve the Problem $t = 0$ , There Are $24 \mathrm {~g}$

question 35

Multiple Choice

Solve the problem.
-The half-life of a certain radioactive substance is 22 years. Suppose that at time $t = 0$ , there are $24 \mathrm {~g}$ of the substance. Then after t years, the number of grams of the substance remaining will be:
$N ( t ) = 24 \left( \frac { 1 } { 2 } \right) ^ { t / 44 }$
How many grams of the substance will remain after 242 years? Round to the nearest hundredth when necessary.

• A) \(0.53 \mathrm {~g}\)
• B) \(0.07 \mathrm {~g}\)
• C) \(0.27 \mathrm {~g}\)
• D) \(0.13 \mathrm {~g}\)

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