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Q: LThe rate of change in the equation y = m + b is represented by the m?
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How is the rate of change represented in an equation?

If f(t) is some function of t (time), then the rate of change, with respect to time, is represented by f'(t). This is equal to the limit, as dt tends to zero, of {f(t+dt)-f(t)}/dt : if the limit exists.


What equation do you use to find the rate of change?

Rate of change = amount of change in some period of time/amount of time for the change


What is rate of change?

Rate of change is often used when speaking about momentum, and it can generally be expressed as a ratio between a change in one variable relative to a corresponding change in another. Graphically, the rate of change is represented by the slope of a line.


What is the calculus operation for finding the rate of change in an equation?

A derivative.


What is the rate of change in a linear relationship?

The rate of change equals the slope. In the basic formula y=mx+b, the rate of change is equal to m. In the equation y=5x+3, the rate of change equals 5.


What is the part of the slope intercept form that represents the rate of change?

y=mx +b is the equation for slope intercept form. y = the output of the equation m = the slope x = the input into the formula b = the y-intercept The slope represents the rate of change. This is because for every input, or x, you put into the equation, is changed by m. So the M portion of this equation would be the rate of change.


How does one figure the rate of change?

The rate of change of a function is found by taking the derivative of the function. The equation for the derivative gives the rate of change at any point. This method is used frequently in calculus.


What is the relationship among proportional relationships lines rates of change and slope?

For each of the following relationships, graph the proportional relationship between the two quantities, write the equation representing the relationship, and describe how the unit rate, or slope is represented on the graph.


What is the rate of change of C equals 3h plus 20?

An equations doesn't have a rate of change, but this equation tells you that ' C ' changes 3 times as fast as ' h ' does.


What is differential equations as it relates to algebra?

It is an equation in which one of the terms is the instantaneous rate of change in one variable, with respect to another (ordinary differential equation). Higher order differential equations could contain rates of change in the rates of change (for example, acceleration is the rate of change in the rate of change of displacement with respect to time). There are also partial differential equations in which the rates of change are given in terms of two, or more, variables.


Is distance divided by time equal to rate an equivalent equation?

It is not a even a valid equation since "rate" is not a well-defined term. Rate is simply the average change in something per unit of time. If properly defined, it is an equivalence relationship.


What is constant speed in mathematical terms?

It's when the rate of change of distance per unit time is constant. Speed (or more precisely, velocity) is represented by the differential equation ds/dt, where s = displacement (actual distance travelled), and t = time taken