IXL | Find the constant of proportionality from a graph

Brian loves to bake blueberry muffins for his friends and family.

There is a proportional relationship between the volume of flour Brian uses (in cups),

and the number of muffins he bakes,

What is the constant of proportionality? Write your answer as a whole number or decimal.

muffins per cup of flour

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Learn with an example

question

After a shipwreck, Finn is stranded on a desert island. He needs to build a shelter, so he makes an axe using materials from the wreckage and starts cutting down trees.

There is a proportional relationship between the number of days Finn is stranded on the island,

and the total number of trees he cuts down,

What is the constant of proportionality? Write your answer as a whole number or decimal.

trees per day

key idea

The graph of a proportional relationship is a straight line passing through the origin

(

)

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

solution

To find the constant of proportionality, first identify the coordinates of one of the points on the line.

Calculate the ratio of the

y-coordinate

to the

x-coordinate.

The constant of proportionality is 5 trees per day.

Looking for more? Try these:

Lesson: Proportional relationships

Lesson: Constant of proportionality

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Teacher tools

Work it out

Not feeling ready yet? These can help:

N.1Find the constant of proportionality from a table

W.8Rate of change: graphs

MM.7Complete a table from a graph

N.3Identify proportional relationships by graphing

Lesson: Proportional relationships

Lesson: Constant of proportionality

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