The number of calories burned by a 90-pound cyclist is proportional to the number of hours the cyclist rides. The equation to represent this relationship is y = 225x. What is the constant of proportionality?

A:135

B:225

C:315

D:90

The number of calories burned by a 90pound cyclist is proportional to the number of hours the cyclist rides The equation to represent this relationship is y 225 class=

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Answer:

The constant of proportionality is 225

Step-by-step explanation:

Given

[tex]y = 225x[/tex]

Required

Determine the constant of proportionality (k)

A direct proportion is represented as:

[tex]y = kx[/tex]

Where k is the constant of proportionality

By comparing:

[tex]y = kx[/tex] to [tex]y = 225x[/tex]

Hence:

[tex]k = 225[/tex]

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