The functions f(x) and g(x) in the table below show max’s and tommy’s savings respectively, in dollars, after x days, some values are missing in the table. which statement best describes max and tommy’s savings in the long run? a: the savings will increase by the same factor for both. b: the savings will increase by the same amount for both. c: max will save more that tommy. d: tommy will save more than max.

Exponential functions increase much faster than linear functions. We can see this clearly if we plug in some values. Let's go a couple of values of x ahead of the given values.

If x = 3, g(x) = 25. On the other hand, x = 3, f(x) = 27. 
If x = 4, g(x) = 35. On the other hand, x = 3, f(x) = 81. 

Therefore, since Max's savings are represented by f(x), his savings obviously grow much faster. Thus, the answer is C, Max will save more that tommy.