How do you find the rate of change?

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).

The rate of change in measured the change in Y over 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).

The rate of change can be found by calculating the difference in the values of a quantity over a certain period of time or another variable. It is often calculated using the formula:

Rate of change = (Change in quantity) / (Change in time or another variable)

For example, to find the rate of change of distance with respect to time, you would divide the change in distance by the change in time. This gives you the speed or velocity.

This is easier to work out from a graph, the rate of change is the gradient of the line - the change in y divided by the change in x. However, you might not have time in exam conditions to draw a graph when it's not asked of you, so I would suggest picking two points of the data - ignoring outliers if there are any. Calculate the difference between them by taking them away from each other, then divide that by the difference in time between them. This will give you the rate of change.

In a graph of a value vs time, it would be the gradient. Otherwise simply divide the difference in any particular value by the time taken.

If you take the change in Y values and divide that with the change in X-values the result will be a rate of change,

The rate of change (ROC) is how much the value of something changes over a period of time and it is given in percentage terms.

To find this you first calculate the change in "Y" values (or the change in an outcome variable) divided by the change in "X" values (or the change in input variables).

So if my tutoring time increases from 3 hours in week 1 to 16 hours in week 2 and my income increases from £45 per week to £240 per week, Y values are my income and X values are the work hours I put in. r

To calculate the ROC I would do the following.

(240 - 45) / (16 - 3) = 195 / 13 = 15% rate of change in my earnings between week 1 and week 2.

You would have to differentiate

Divide the change of one variable with the change of the other variable

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.

Frays of change is how much x. Ganges w time or another variable . So this can be done by working out the gradient of a graph or differentiating If it is an expression

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

The rate of change (ROC) is the speed at which a variable changes over a specific period of time

divide the change in y-values by the change in x-values