Question

What is the rate of change of y with respect to x for 25x-4y=50

Answer 1

Answer:

The rate of change is y with respect to x is $\frac{25}{4}$

Step-by-step explanation:

Given

$25x - 4y = 50$

Required

Determine the rate of change of y w.r.t x

$25x - 4y = 50$

First, make y subject of formula

$4y = 25x- 50$

Divide through by 4

$y = \frac{25x}{4} - \frac{50}{4}$

$y = \frac{25x}{4} - 12.5$

Next, we differentiate the above w.r.t to x

The result of the differentiation is the solution to the question

$y' = 1 * \frac{25x^{1-1}}{4} -0$

$y' = 1 * \frac{25x^0}{4}$

$y' = 1 * \frac{25*1}{4}$

$y' = \frac{25}{4}$

Hence, the rate of change is y with respect to x is $\frac{25}{4}$