The function \( f(x) = 3x + 10 \) represents a linear equation, which shows constant change. This means that for every unit increase in \( x \), the value of \( f(x) \) increases by a constant amount (3 in this case). On the other hand, the function \( g(x) = 5(1.5)^x \) exhibits exponential growth, where the growth rate is constantly increasing. As \( x \) increases, \( g(x) \) grows at an increasing rate, making it a better representation of exponential phenomena.
When considering the context of the equations, \( g(x) \) would be more likely to model bacterial growth as a function of time, since bacteria reproduce exponentially under suitable conditions. Conversely, \( f(x) \) would be more appropriate for modeling miles walked as a function of time, as walking typically involves a steady, predictable pace that generates constant change over time.