The equation represents an exponential function with an initial value of 500 is, [tex]\rm f(x) = 500(2)^x[/tex].
We have to determine, which equation represents an exponential function with an initial value of 500?
According to the question,
An exponential function formula can be defined by,
[tex]\rm f(x) = ab^x[/tex]
Where the input variable is denoted as x occurs as an exponent.
And b is the growth value or decay constant.
The exponential curve depends on the exponential function and it depends on the value of the x.
Therefore,
The equation represents an exponential function with an initial value of 500,
[tex]\rm f(x) = 500(2)^x[/tex]
Where the input variable is denoted as x occurs as an exponent.
And b is 2 the growth value or decay constant.
Hence, The required equation represents an exponential function with an initial value of 500 is, [tex]\rm f(x) = 500(2)^x[/tex].
For more details refer to the link given below.
https://brainly.com/question/15918951
