f(x)-------x

31.25-----2.5

39.20-----2.8

45--------3.0

48.05-----3.1

The function f is differentiable and has values as shown in the table above. Both f and f ' are strictly increasing on the interval [0,5]. Which of the following could be the value of f ' (3)?

a. 20

b. 27.5

c. 29

d. 30

e. 30.5

I've already ruled out choice a and b, but between c, d, and e, I don't know which one is correct.