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Evgen [1.6K]
3 years ago
7

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

Mathematics
1 answer:
nydimaria [60]3 years ago
5 0

Answer:

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

<em></em>

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}

<em>Hence, the rate of change is y with respect to x is </em>\frac{25}{4}<em></em>

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