Question

What is y= 29/5x as a rate of change

Answer 1

the rate of change is -29/5x^2

Answer 2

`(dy)/(dt) = -(29)/(5)\cdot x^(-2)\cdot (dx)/(dt)`

Explanation:

The rate of change is rate of how y changes in time in terms of the rate of change of x in time. It can be found by deriving the function once and applying chain rule:

`y = (29)/(5)\cdot x^(-1)`

`(dy)/(dt) = -(29)/(5)\cdot x^(-2)\cdot (dx)/(dt)`