Answer
f(x) = 190(1.15)x
Explanation
To solve this, we are going to use the standard exponential function:
\(f(x)=a(1+b)^x\)
Where
\(f(x)\) is the final price after \(x\) years
\(a\) is the initial price
\(b\) is the rate in decimal form
\(x\) is the time in years
We know from our problem that the initial price is $190, so \(a=190\). Now to convert the rate, 15%, to decimal form, we are going to divide it by 100%, so \(r=\frac{15}{100} =0.15\). Let's replace the values:
\(f(x)=a(1+b)^x\)
\(f(x)=190(1+0.15)^x\)
\(f(x)=190(1.15)^x\)
