# FIND THE CONSTANT OF PROPORTIONALITY FROM A GRAPH

## About "Find the constant of proportionality from a graph"

How to find the constant of proportionality from a graph ?

To find the constant of proportionality from a graph, we have to find a point on the graph. Then we have to divide the value of y-coordinate by the value of x coordinate.

If and y have a proportional relationship, the constant of proportionality is the ratio of to x.

Example 1 :

John wants to save up some money to buy a new smartphone, so she babysits on the weekends.

There is a proportional relationship between the time Dedra spends babysitting (in hours), x,and the amount of money she earns babysitting (in dollars),

What is the constant of proportionality ? Solution :

To find the constant of proportionality, we have to mark at least one of the points on the graph. In the above graph, we have marked a point (1, 10). To find the constant of proportionality we have to divide the value of "y" by "x"

So x = 1 and y = 10

y/x  =  10/1  ==>  10

Hence the constant of proportionality is 10.

Example 2 :

The graph below represents the total number of plants and number of seed packets used. What is the constant of proportionality? Solution :

To find the constant of proportionality, we have to mark at least one of the points on the graph. In the above graph, we have marked a point (2, 20). To find the constant of proportionality we have to divide the value of "y" by "x"

So x = 2 and y = 20

y/x  =  20/2  ==>  10

Hence the constant of proportionality is 10.

Example 3 :

The graph below represents the total number of cups of coffee and the total amount of sugar required to make the coffee. What is the constant of proportionality ? Solution :

To find the constant of proportionality, we have to mark at least one of the points on the graph. In the above graph, we have marked a point (8, 40). To find the constant of proportionality we have to divide the value of "y" by "x"

So x = 8 and y = 40

y/x  =  40/8  ==>  5

Hence the constant of proportionality is 5.

Example 4 :

The graph below represents the packets of biscuits consumed over time. What is the constant of proportionality? Solution :

To find the constant of proportionality, we have to mark at least one of the points on the graph. In the above graph, we have marked a point (2, 10). To find the constant of proportionality we have to divide the value of "y" by "x"

So x = 2 and y = 10

y/x  =  10/2  ==>  5

Hence the constant of proportionality is 5.

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