Question

Which equation represents an exponential function with an initial value of 500?

Answer 1

which ever equation has for x=0 the output is 500

Answer 2

\[y=a(b)^x \text{ say this is your exponential equation where } b \in (0,1) \cup (1,\infty) \\ \text{ now if we replace } x \text{ with 0 } \\ y=a(b)^0=a(1)=a \text{ we see the initial value is } a \]