The correct statement about the equation
As
Here's the reasoning:
-
Understanding the function: The equation represents an exponential function where
(the money) increases as (the number of people passing the money) increases. Specifically, the function doubles for each additional person who passes it, starting from $20. -
Behavior of exponential growth: In exponential functions, the growth starts gradually but accelerates as
increases. So, as more people opt to pass the money, increases very rapidly. -
Range: The range of the function
includes values greater than or equal to $20 since the minimum amount could be (when ) is $20, and it only gets larger as increases. -
Domain: The domain of
includes non-negative integers ( ). The initial statement regarding being greater than or equal to 20 is incorrect.
Thus, the only statement that is true is the one about