An unstable radioactive isotope decays according to the equation $y=2.53(.97)^{t}$ where $y$ is the number of grams remaining and $t$ is the time measured in minutes. Match each question with one of the solutions A, B, C, or D.
-How many grams are remaining after 30 seconds?
A) Evaluate $2.53(.97)^{1 / 2}$
B) Evaluate $2.53(.97)^{2}$
C) Solve $2=2.53(.97)^{t}$
D) Solve $\frac{1}{2}(2.53)=2.53(.97)^{t}$

Question

Quizplus · Accepted Answer

Since $t$ is measured in minutes, 30 seconds is $\frac{1}{2}$ minute. To find the amount remaining after 30 seconds, substitute $t = \frac{1}{2}$ into the equation, resulting in $2.53(.97)^{\frac{1}{2}}$.

An Unstable Radioactive Isotope Decays According to the Equation y=2.53(.97)ty=2.53(.97)^{t}y=2.53(.97)t Where yyy

An Unstable Radioactive Isotope Decays According to the Equation $y=2.53(.97)^{t}$ Where $y$