CONSTANT OF PROPORTIONALITY FROM A GRAPH WORKSHEET

Problem 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 ?

Problem 2 :

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

Problem 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 ?

Problem 4 :

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

Problem 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 a point on the graph.

In the graph above, we have marked a point (1, 10). To find the constant of proportionality, we have to divide the value of y by x

In the point (1, 10), we have x  =  1, y  =  10.

y / x  =  10 / 1

y / x  =  10

So, the constant of proportionality is 10.

Problem 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 a point on the graph.

In the graph above, we have marked a point (2, 20). To find the constant of proportionality, we have to divide the value of y by x.

In the point (2, 20), we have x  =  2 and y  =  20.

y / x  =  20 / 2

y / x  =  10

So, the constant of proportionality is 10.

Problem 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 a point on the graph.

In the graph above, we have marked a point (8, 40). To find the constant of proportionality, we have to divide the value of y by x.

In the point (8, 40), we have x  =  8 and y  =  40.

y / x  =  40 / 8

y / x  =  5

So, the constant of proportionality is 5.

Problem 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 a point on the graph.

In the graph above, we have marked a point (2, 10). To find the constant of proportionality, we have to divide the value of y by x.

In the point (2, 10), we have x  =  2 and y  =  10.

y / x  =  10 / 2

y / x  =  5

So, the constant of proportionality is 5.

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