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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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3418 views

V

Vickie Shanahan

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119 Answers

A

Alister Gorrie

To find the average rate of change on a graph, take two y-values and two x-values. You divide the change in y-values by the change in x-values.

K

Kelley Dunleavy

To find the average rate of change, **divide the change in y-values by the change in x-values**.

R

Renuka Raykar

Hi! rate of change = change in y/change in x usually when talking about rate, change in x= time

N

Nirvesha Jalla

**It is found by calculating the gradient of a curve/line at a particular point. The gradient of the line = (change in y-coordinate)/(change in x-coordinate)**

H

Harris Asghar

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

J

James Mcfarlane

Rate of change of what?

The rate of change of anything is usually given by its end value, minus its start value, divided by time

for example momentum=0 at t=0s, and momentum=5 at t=10s, rate of change = (5-0)/10 = 5/10 = 1/2

A

An Nguyen

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

S

Soufyan Soogun

Find the change in y, and divide it by the change in x!

For example...

On a graph, we may find two points (5,4) and (6,8).

We can calculate rate of change by taking the x values (5 and 6), and finding the difference between them (6-5=1). We do the same for the y values (4 and 8), with the difference being 4.

Therefore, the rate of change = 4 / 1 = 4!

A

Angie Muyeke

The rate of change can be found on a straight-line graph by selecting two coordinates and dividing the change in the y-values by the change in the x-values. This can be shown in the formula : m = y2-y1/ x2-x1 with m representing the gradient of the straight-line. Additionally, x and y can be two different variables and the formula is used to calculate average speed or average velocity.The rate of change of a straight line is equivalent to the gradient of a straight line graph. However, we use differentiation with non-linear graphs to find the rate of change at a particular point. This is another topic in itself.

M

Milton Tom

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

S

Sakina Mrabet Fahsi

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

M

Mr Asghar Mohammad

Work out the gradient ( Change in Y / Change in X) (y2-y1)/(x2-x1)

O

Okorie Ukairo

dy/dx. Final value subtracted by initial value divided by time

E

Ethan James Higgins

Hi Mrs Shanahan,

To find the rate of change you need to work out the gradient at that point.

If the graph is curved you will need to draw a tangent (line) that makes contact the curve at the point you're measuring.

Try to make the tangent as long as possible for the graph.

Next, from the bottom of the tangent draw a horizontal line towards the right.

From the top of the tangent, draw a verticle line downwards.

They will cross and form a triangle.

Next, calculate the height and width of the triangle.

Rate of change = change in y / change in x

If the graph is already a straight line then you just need to calculate (change in y) / (change in x) of the straight line.

J

Jaskiran Arora

This ideally depends on the situation, let's say you have two variables x and y. X is your dependent and y Is the independent. To find the rate of change of x you would need the initial value of x at time 0 and final value of x at time F (final time). Now you would do the final value of x minus the initial value over the total time period. This would give you the rate of change. This change can be negative or positive depending on whether the value of x increases or decreases from the initial value.

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