How do you find the rate of change?

Rate of change is found through differentiation, this in its simplest form can be found by reducing the power of the function by one and timesing through by the power you have reduced, if it is a constant function you could simply find the gradient.

The rate of change tells you how fast one quantity changes compared to another. For example, for a straight line, you find the rate of change by using the formula:

Rate of change=Change in y / Change in x. This is often called the gradient or slope. If y goes from 3 to 7 while x goes from 2 to 4, then the rate of change is:

(7−3)/(4−2)= 4/2 = 2. This means y increases by 2 for every 1 unit increase in x.

Distance traveled divided by time it takes. On a graph that would be calculating the difference in the change in y and the change in x

Difference divided by the time.

In terms of a graph, this will be the change in the y-axis divided by the change in the x-axis (aka slope).

Rate of change of velocity with time

dV/dt = dV/dx . dx/dt

Further explanation will require a question

Rate of change can be calculated by the amount of a specific quantity is changing by the time it took for the change to hapen. A common example in physics in speed which is simply rate of change of position(or distance). If a car changes its position by 20 miles in 30 minnutes then its average speed(or rate of change of position) is 20miles divided by 30min(or 0.5 hr) which is 40 miles per hr

Rate of Change = (Change in Output) / (Change in Input)

• Change in Output: This refers to the difference between the final and initial values of the quantity you're measuring (often denoted by y).
• Change in Input: This refers to the difference between the final and initial values of the independent variable (often denoted by x).

dy/dx, gradient, change in y / change in x

Rate is defined as ‘per unit time’

The rate of change of a physical quantity is defined as the change of that physical quantity per unit time.

To find the rate of change, divide the rate of change of the physical quantity by the time interval.

On a graph of physical quantity against time, rate of change would be the gradient.

rates of change are defined as a change in quantity over a time period. So dividing a change in quantity by the change in time will give you a rate of change.

To find the rate of change, you simply find tbe gradient of the line you are working with. To find the gradient you find: (change in the y-coordinate)/(change in the x-coordinate). By doing this, you have calculated the rate of change.

The rate of change of a variable, x, is given by differentiating that variable with respect to time, t. In other words, find dx/dt. Hope that helps :)

Hi Vickie,

Hope you are keeping well.

Looking at your question, we can use the general formula to help you answer this question.

As rate of change is dealing with the change in values.

If you imagine an XY graph, with time on the x-axis and distance on the y-axis.

The rate of change of a distance traveled = velocity (m/s)

The rate of change of velocity = acceleration (m/s^2)

velocity = (change in distance) / (change in time)

Hope this helps.

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The average rate of change is a measurement that provides insight in a variety of applications; Finance, accounting, engineering etc.

In the simplest form, it is calculated with this algebraic formula - (y1-y2)/(x1-x2) where y1,y2,x1 and x2 are diffent points in the x and y axis on a graph.