Question

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

Answer 1

The constant of proportionality is 225

Explanation:

Given

`y = 225x`

Required

Determine the constant of proportionality (k)

A direct proportion is represented as:

`y = kx`

Where k is the constant of proportionality

By comparing:

`y = kx` to
`y = 225x`

Hence:

`k = 225`