How do you find the rate of change?

This depends on what type of rate of change you are looking for, however either it be speed, temperature or mass, you are usually able to plot this variable against time on a graph, to find the rate of change you have to find the gradient of this graph.

If looking at a straight line graph, you are able to simply identify two points on the line and note down their coordinates. You are then able to do (Y2-Y1)/(X2-X1) to find the rate of change.

If it is a curved graph, draw a tangent and use the (Y2-Y1)/(X2-X1) formula on the tangent. The rate of change is not the same all across and you have to draw a tangent on a specific point on the graph to find the rate of change at that time specifically.

You would also be able to use differentiation to be able to find the gradient at a specific point.

I hope this helps :)

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

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.

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,

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.

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.

The rate of change is the amount of change per unit time. We can find the rate of change by dividing the change in our measurement by the time it took for that change to occur. For example, if our speed increased by 10 m/s over 5 seconds, our rate of change (acceleration) would be n10/5=2ms^-2

Use the formula (new-old)/old and multiply by 100 to get a percentage

The rate of change measures how a quantity changes over time or across space. It's often represented as the slope of a line connecting two points on a graph.

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

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).

By finding the gradient of the line. You can do this by using the formula: m = (y2 — y1) / (x2 — x1). Where m is the gradient.

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

Hello Mrs Vickie Shanahan. There isn't much context to your question here, so I'll keep my response as general as possible:

The rate of change describes a relationship between a dependent and an independent variable. For example, the rate of change of velocity with time or the rate of change of temperature with distance.

In a simple mathematical case, we'd write this as the change in the dependent variable (temperature, dT) over a fixed interval of the independent variable (distance, dx)

Which is mathematically written as dT/dx, or as shown in the graph, dy/dx.

It is then clear that for the linear relationship in the above graph, the rate of change is dy/dx = (y1-y2)/(x2-x1) = (6-3)/(8-4).

Derivatives are the best tool, but not for everyone... Considering two variables (distance and time, for example), you can also take the first and last value of both in a certain process, subtract the ones from the same variable (e.g. last and first distances of the bus from your position) and divide the subtractions of different variables. By doing this with position/distance and time, the rate of change you get is the speed of the object you're analyzing!