Question

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

Answer 1

The initial value of 500 would be f(x) = 500(2)x

Answer 2

Actually, you'd need to write f(x) = 500(2)^x, which indicates that 2 is the base and x is the exponent. Otherwise your 500(2)x looks like straight multiplication and would not be the correct answer.