Let P(t) be the quantity of strontium-90 remaining after t years. Suppose the half-life of strontium-90 is 28 years. Which of the following equations expresses the half-life information?
A) P(28) = $\frac { 1 } { 2 }$ $\mathrm { P } _ { 0 }$
B) P $\frac { 1 } { 2 }$ = 28 $\mathrm { P } _ { 0 }$
C) 28 = $\frac { 1 } { 2 }$ $\mathrm { P } _ { 0 }$
D) 28 = $\frac { 1 } { 2 }$ $\mathrm { P } _ { 0 }$ $\mathrm { e } ^ { - \mathrm { kt } }$
E) none of these

Question

Quizplus · Accepted Answer

The half-life of a substance is the time it takes for half of it to decay. For strontium-90 with a half-life of 28 years, after 28 years, half of the original amount ($P_0$) would remain. Thus, $P(28) = \frac{1}{2}P_0$ correctly represents this situation.

Let P(t) Be the Quantity of Strontium-90 Remaining After T 12\frac { 1 } { 2 }21​

Let P(t) Be the Quantity of Strontium-90 Remaining After T $\frac { 1 } { 2 }$