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# How do you find the rate of change?

11 months ago

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119 Replies

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V

Vickie Shanahan

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119 Answers

T

Timothy M Lewis

Assuming rate of charge is the rate of flow of charge, this is known as current (I). This can be found by dividing charge (Q) by time (t) - I = Q/t

P

Paul Hunt

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.

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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.

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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,

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S

Sonya Pervez

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.

M

Manavee Sehdev

The rate of change is the speed at which variables change over a specific amount of time therefore to find the rate, you look at the graph and divide the changes in the 'y' value by the changes in the 'x' value.

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either draw a graph and calculate the gradient = difference in Y divided by difference in X of differentiate and put in the value for x

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J

Jack

Rate of change is often calculated on graphs, represented by the gradient, to calculate it without a graph it is simply just the change in the unit (bigger value - smaller value) divided by the time taken between the two values, hope this helps

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Sharanya Balaindra

rate of change could be worked out as change in y / change in x

L

Lezan Attawla

Subtract one value from the other and divide it by the time period to calculate the change per that time period.

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Rate of change is represented by the gradient of the line. So, change on y divided by change in x

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M

Maryam Hayat Bibi

(new-original)/original

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rate of change = (y1 - y2)/(x1 - x2)

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FInd the change in one thing (y)and the change in the other thing (x), which is often time. Then calculate rate of change=change in y divided by change in x. The rate of change on a graph is the gradient of the graph, again change in y divided by change in x, which means doing a tangent if the graph is a curve.

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