find pattern of range

Question

x: 2,4,6,8,10

f(x): 4,9,14,19,24

Answer 1

For each increase of 2 in x, y increases by 5. So, this function is linear with slope 5/2.  

 

f(x) = (5/2)x + b

 

f(2) = (5/2)(2) + b = 4

 

                          b = -1

 

f(x) = (5/2)x - 1