Question

match exponential equation and context
this is the only question in this section.
question
vani has a collection of vintage action figures that is worth $140. if the collection appreciates at a rate of 15% per year, which equation represents the value of the collection after 2 years?
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: Recall appreciation formula

The formula for exponential appreciation is $V = P(1 + r)^t$, where $P$ is initial value, $r$ is annual rate, $t$ is time in years.

Step2: Identify given values

$P = 140$, $r = 0.15$, $t = 2$

Step3: Substitute values into formula

$V = 140(1 + 0.15)^2$

Answer:

$V = 140(1 + 0.15)^2$