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Rates of Change

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# How do you find the rate of change?

2 years ago

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186 Replies

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7573 views

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Vickie Shanahan

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Archita Sinha

The rate of change on a line graph is called the gradient and is calculated by the change in y axis/ change in x axis. What this means is that you find 2 points on the line and find the difference between the y coordinates and divide that by the difference in x axis.

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if you are given a graph then draw a tangent as accurately as you can(doesn't matter if its perfect) and use change in y divided by change in x for your straight line to get the gradient which is the rate of change. just watch your units it will ber per second or per minute, something like that depending on the experiment

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George Asquith

The rate of change is how much one quantity changes per unit of another amount. Normally this is how much y changes for every set amount that x increases or decreases. This is the same as the gradient (in straight lines gradient is fixed and is shown as m in y=mx+c, in other graphs, the gradient changes). This can be calculated by having two points each with x and y coordinates. y1-y2 divded by x1-x2.

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Michail Lazos

The rate of change is difference of y divided by difference of x. In other words it is the derivative at a given point.

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Aishwarya Bandaru

The rate of change is also known as the gradient or slope.

Rate of change = (change in quantity 1) / (change in quantity 2)

Given 2 points (x1, y1) and (x2, y2), the rate of change between them is:

Δy / Δx = (y2 - y1) / (x2 - x1)

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Melisa

The rate of change = change in y over change in x , if you are given 2 coordinates e.g (2,0) (3,3) and you want to find the rate of change. You would simply do 3-0 / 3-1 which would give you 3/2. This will give you a gradient y=3/2x + c. To find c you would simply sub one of the coordinates back in to this equation.

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Ajit Kumar

Rate of Change is a general concept and it is applied in various subjects like Maths and Science. Let's understand it by taking an example.

In Time T, I reached from D1 to D2. What is the Rate of change.

So for this, Let's calculate

the Change in Distance= D2-D1

time taken = T

So, Rate of Change = (D2-D1)/ T

i.e change in distance per unit time. This is Rate of change.

A
Anzumana

To find rate of change on a linear graph (straight line) :

1) You have to pick two points on the line

2) Measure the distance in the y axis and the distance in the x axis between the points (you can sketch a right triangle under the points to make this easier)

3) Put the values you got into the formula: change in y divided by change in x

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Ben Mitchell

Take the variable that is changing over a period of time, making note of the first time point and second time point. Subtract this variable at the first time point from the variable at the second time point. Then, take this value and divide it by the difference in time between the two points to get the rate of change.

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Netsanet

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

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Sheraine Wong

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.

J
Jess

The change in the y axis divided by the change in the x-axis

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The rate of change is given by the change in y over the change in x. It explains how the variable plotted on the y axis changes in respect to x. For example on a distance time graph the rate of change is given by the change in distance over time so therefore is speed.

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O
Olajide Ayodele

distance travelled divided by the time

S
Srishti

The rate of change of a quantity is found using calculus, specifically by finding the derivative of the function that describes the quantity with respect to the variable of interest.

For a function y=f(x):

• The rate of change of y with respect to x is given by the derivative dy/dx
• This derivative represents how y changes as x changes.

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