How do you find the rate of change in a graph

Skip to content# How do you find the rate of change in a graph

### Related Posts

##
This Post Has 10 Comments

### Leave a Reply Cancel reply

Home
Mathematics
How do you find the rate of change in a graph

How do you find the rate of change in a graph

In a table the numbers in the Y column can help you see the change of rate by subtracting the one on top by the one on the bottom.

example below. You ca see that the number that it gives you it is always the same, therefore that is the change of rate or slope.

In a graph select 2 points and divide how many numbers to go up and how many in the x axis. then divide them rise÷run=slope

The difference between a linear interval is that the rate of change is always the same. That is why it is a line and not a curve or a circle etc.

[tex]can you explain how a table can be used to find the rate of change? how do you find the rate of cha[/tex]

Y2-y1/x2-x1 =m(rate of change)

A table can be used to find the rate of change by giving you a visual representation of how the operation changes over time for example in the link i'm about to post you can see how much more money is earned as more cars are washed, it is showing how much money is being made OVER TIME, hope this helps 🙂

now to answer your second question, say you would like to know how many miles Tracy ran over a course of 2 hours, the x axis would be the miles and the y axis would be the time, then you would plot the different points on the graph showing the rate at which she is running

'

to answer your last question a linear interval would be a sequence of numbers that when places on a number line they will form a line, a nonlinear interval is a sequence of numbers that don't make a line because there are inequities meaning the numbers in the sequence are all over the place

Hope this helps and i will post the pictures so you can have a visual representaion

[tex]can you explain how a table can be used to find the rate of change? how do you find the rate of cha[/tex]

[tex]can you explain how a table can be used to find the rate of change? how do you find the rate of cha[/tex]

[tex]can you explain how a table can be used to find the rate of change? how do you find the rate of cha[/tex]

1. A table can be a helpful thing to model the rate of change. It can be used by making an x and y column and listing each number underneath it like so:

x y

1 2

2 4

And so on. The rate of change for that table would be every time the x axis goes up 1, the y axis goes up 2.

2. To find the rate of change using a graph, look at the line on the graph. You can make a small triangle that starts on the line and then comes out and re-connects into the line. Like so - (look at attached picture). And as you go, you count how many you go down or up and how many you go left or right.

*Hopefully this was helpful, sorry if t wasn't!

xx, Avery

[tex]1. can you explain how a table can be used to find the rate of change? 2. how do you find the rate[/tex]

answer:

the correct answer is the vertical change divided by the horizontal change between two points on a line. we can find the slope of a line on a graph by counting off the rise and the run between two points. if a line rises 4 units for every 1 unit that it runs, the slope is 4 divided by 1, or 4.

The rate of change of a graphed function is the ratio of the change in the ordinate value to the change in the abscissa value between two points. When the plot has y on the vertical axis and x on the horizontal axis, the rate of change is

.. (change in y)/(change in x)

When the plot is of a straight line, you find the rate of change by locating two points on that line whose coordinates you can read from the graph. Then subtract the y-value of the first from that of the second to get the change ∆y. Do the same for the x-values: subtract the first from the second to get ∆x. The "rate of change" between the points you selected is

.. rate of change = (∆y)/(∆x)

If the plot goes upward from left to right, the rate of change is positive. If it goes downward left to right, the rate of change is negative.

if the function of the graph is given differentiate the function to get the expression for the rate of change(or slope).

else, draw a tangent to any required pont and find the gradient or slope.

-3

Step-by-step explanation:

The average rate of change is the slope of the line that connects the points of interest. At x=-6, the point is (-6, 8). At x=-5, the point is (-5, 5).

I find it easy to refer to the graph to see that the point at x=-5 is 3 units down and 1 unit to the right of the point at x=-6. So the slope of the connecting line is -3/1 = -3.

If you want to find the same result analytically, you can compute ...

... ∆y/∆x = (y2 -y1)/(x2 -x1)

... = (5 -8)/(-5 -(-6))

... = -3/1 = -3

To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate

A) We can pick any two values from the table then can subtract initial value from final value divide by the number of instance which will give us the rate of change.

b) Same with the graph, we take two coordinates and then apply in the formula:

slope (m) = y2-y1 / x2-x1

c) We can write the equation, by substituting into the formula:

y - y1 = m (x - x1)

Where y-interecpt & slope is most important

d) When, we completely solve the equation, then it gives y-intercept, and first value of the path in the graph is known as initial value

e) In linear interval, difference between any two instances must be same, 'cause they follow the rule of proportionality whereas in non-interval, differnce will be different in magnitude

Hope this helps!