Solution
We are given
[tex]p(d)=714(0.75)^d[/tex]
where d is in decades
To write in terms of x, where x is in years
The scales factor between decades and years is 10
Thus, the scale factor will change
[tex]d=10x[/tex]
To write in terms of x, we will have
[tex]\begin{gathered} p(d)=714(0.75)^d \\ p(x)=714(0.75)^{\frac{1}{10}x} \\ p(x)=714(\sqrt[10]{0.75})^x \\ p(x)=714(0.9716416579)^x \\ p(x)=714(0.9716)^x \end{gathered}[/tex]
Therefore,
[tex]p(x)=714(0.9716)^x[/tex]
Option C
