Respuesta :
Answer:5
Step-by-step explanation:
rate of change is the same thing as slope (or m)
The required rate of change for the given equation y = 5x + 25 is 5.
Given that,
For the given equation y =5x +25 the rate of change is to be determined.
What is the slope of the line?
The slope of the line is the tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
What is the rate of change?
The rate of change is defined as the change in value with the rest of the time is called rate of change.
Here,
The given equation,
y = 5x + 25
Differentiate the above equation with respect to x,
dy/dx = d(5x +25)/dx
dy/dx = 5dx/dx + d25/dx
dy/dx = 5 (since dx/dx =1 and d25/dx = 0)
here dy/dx is the slope of the equation or m or rate of change = 5
Thus, the required rate of change for the given equation y = 5x + 25 is 5.
Learn more about the rate of change here:
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