Need help with this calculus question

Question

If f'(x) > 3 for all x and f(2) = 5, what can you conclude about f(4)?

From the following choose the correct answer to the question above:

A: f(4) > 6

B: f(4) > 8

C: f(4) > 11

D: f(4) > 17

Answer 1

the derivative is the slope = "rise over run" or increase in y divided by increase in x

y = f(x). if x increases by 2 (4-2) then y increases by more than 3 x 2 = 6. Add 6 to 5 = 11

C is correct. f(4)>11