27. what is the effect of a larger value of k in the exponential decay equation?\n a. the decay stops.\n b…

27. what is the effect of a larger value of k in the exponential decay equation?\n a. the decay stops.\n b. the decay rate becomes constant.\n c. the decay happens faster.\n d. the decay slows down.

27. what is the effect of a larger value of k in the exponential decay equation?\n a. the decay stops.\n b. the decay rate becomes constant.\n c. the decay happens faster.\n d. the decay slows down.

Answer

Brief Explanations:

The general form of an exponential - decay equation is $y = y_0e^{-kt}$, where $y_0$ is the initial amount, $t$ is time, and $k>0$ is the decay constant. A larger value of $k$ means that the exponent $-kt$ will decrease more rapidly for a given increase in $t$. This causes the function $y$ to decrease more quickly over time.

Answer:

C. The decay happens faster.