IXL | Find the constant of proportionality from a graph

Keith has outgrown the bike he rode when he was small. So, for his twelfth birthday, his parents surprise him with a five-speed Blaze Rider 2000! Keith has never had a bike with multiple speeds before, and he is eager to learn how it works. He starts by testing the middle speed.

There is a proportional relationship between the number of times Keith

pedals,

and the number of times the wheels

rotate,

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

wheel rotations per time Keith pedals

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Learn with an example

question

Haley has outgrown the bike she rode when she was small. So, for her twelfth birthday, her parents surprise her with a five-speed Blaze Rider 2000! Haley has never had a bike with multiple speeds before, and she is eager to learn how it works. She starts by testing the middle speed.

There is a proportional relationship between the number of times Haley

pedals,

and the number of times the wheels

rotate,

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

wheel rotations per time Haley pedals

key idea

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

(

)

and

have a proportional relationship, the constant of proportionality is the ratio of

solution

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

Calculate the ratio of the

-coordinate

to the

-coordinate.

The constant of proportionality is 2 wheel rotations per time Haley pedals.

Looking for more? Try these:

Lesson: Constant of proportionality

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T.4Interpret graphs of proportional relationships

S.11Unit rates

Lesson: Constant of proportionality

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