Answer: Choice D [tex]p(\text{x}) = 500(1.02)^{\text{x}}[/tex]
Reason:
Exponential functions have the variable in the exponent.
Choice A is a polynomial, which means we can rule it out. Choice B is a log function, so we can rule it out also.
Choice C is a rational function because it is a ratio of two polynomials. This rules out choice C.
Choice D is the only function with the variable in the exponent. That is assuming you meant to say [tex]p(\text{x}) = 500(1.02)^{\text{x}}[/tex] instead of [tex]p(\text{x}) = 500(1.02){\text{x}}[/tex]
