Question

Match each verbal description to the equivalent function that fits the description. Reset Next

Answer 1

Answer:

Step-by-step explanation:

Decay is defined by the function as,

f(t) = $(1-\frac{r}{n} )^{nt}$

Here, r = rate of decay

t = duration of decay Or time (In years)

n = Number of times of decay in a year

Decay every 2 years over a period of t years,

f(t) = $(1-\frac{r}{\frac{1}{2}})^{\frac{1}{2}\times t}$

    = $(1-2r)^\frac{t}{2}$

Therefore, $f(t) = (0.75)^\frac{t}{2}$ will be the answer.

Decay 2 times a year over a period of t years,

f(t) = $(1-\frac{r}{2})^{2t}$

Therefore, $f(t)=(0.9306)^{2t}$ will be the answer.

Decay once per year over a period of t years,

f(t) = $(1-\frac{r}{1})^t$

    = $(1-r)^t$

Therefore, $f(t)=(1-r)^t$ will be the answer.