The rate of change of y with respect to x is [tex]-\dfrac{25}{4}[/tex].
Important information:
- The given equation is [tex]25x-4y=50[/tex].
We need to find the rate of change of y with respect to x.
Rate of change:
The given equation can be written as:
[tex]-4y=-25x+50[/tex]
[tex]y=\dfrac{-25x+50}{4}[/tex]
[tex]y=-\dfrac{25}{4}x+\dfrac{50}{4}[/tex]
Differentiate y with repsect to x.
[tex]y'=-\dfrac{25}{4}(1)+0[/tex]
[tex]y'=-\dfrac{25}{4}[/tex]
Therefore, the rate of change of y with respect to x is [tex]-\dfrac{25}{4}[/tex].
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