after purchasing stock in an electronics comp...
after purchasing stock in an electronics company for $2,500, emma found that the stock decreased in value by 3% the first year. assuming it continues to decrease by 3% each year, you can use a function to describe the value of the stock after x years. write an equation for the function. if it is linear, write it in the form f(x)=mx + b. if it is exponential, write it in the form f(x)=a(b)^x. f(x)=
Answer
# Explanation:
## Step1: Identify the initial - value and rate
The initial value of the stock $a = 2500$. The rate of decrease is $3\%=0.03$, so the growth factor $b = 1 - 0.03=0.97$.
## Step2: Write the exponential - function formula
The general form of an exponential function is $f(x)=a(b)^x$. Substituting $a = 2500$ and $b = 0.97$ into the formula, we get $f(x)=2500(0.97)^x$.
# Answer:
$f(x)=2500(0.97)^x$