The average value of the function v(x)=3x on the interval [1,c] is equal to 5. find c if c> 1.

You want the average value to be 5, so the variable c will satisfy ...


This mix of exponential and polynomial equation cannot be solved by algebraic means. A graphical solution gives ...
  c ≈ 1.86236508674

Y= 4/5 x + 24
To find the rate of change you find the difference in each of the numbers on the graph. For example, 36-32 is 4. So 28-4 is 24 and that would be the next number down. It would also match x to be 0 because since the rate of change for x was 5, if you subtract 5 from 5 you get 0. So from this we know that the coordinates would be 0,5.
From this info, the slope would be 4/5 and the y intercept or initial value would be 24