Question

y = 5 when x = 2 . Average rate of change of y w.r.t. x between x = 2 and x = 5 is 3 and between x = 5 and x = 8 is 4. What is the value of y when x = 8

Answer 1

$$y(8)=y(5)+k'(8-5)\\y(5)=y(2)+k(5-2)\\y(5)=5+3(5-2)=14$$

$$y(8)=14+4(8-5)=26$$