Question

vani has a collection of vintage action figures that is worth $140. a rate of 15% per year, which equation represents the value of the
answer
\\( v = 140(0.85)^2 \\)
\\( v = 140(0.15)^2 \\)
\\( v = 140(1 - 0.15)^2 \\)
\\( v = 140(1 + 0.15)^2 \\)

Explanation:

Step1: Identify decay rate formula

The general formula for exponential decay is $V = P(1 - r)^t$, where $P$ is initial value, $r$ is decay rate, $t$ is time.

Step2: Substitute given values

Here, $P=140$, $r=0.15$, $t=2$. Substitute into formula: $V = 140(1 - 0.15)^2$. Note that $1-0.15=0.85$, so $V = 140(0.85)^2$ is also equivalent.

Answer:

A. $V = 140(0.85)^2$
C. $V = 140(1 - 0.15)^2$