Ivania is riding her bicycle in a race against her friend Javier. Let x = seconds and y = meters.

Javier's cycling is described by the equation y=10x
Ivania's cycling is described by the equation y=9x−6
What does the y-intercept of Ivania's equation mean in the context of this situation?

Ivania is cycling 1 meter per second slower than Javier.

Ivania begins the race 9 meters ahead of Javier.

Ivania begins the race 6 meters behind Javier.

Ivania begins the race 6 meters ahead of Javier.

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joaobezerra joaobezerra · Answer 1 · 2022-06-17T18:28:02+02:00

Using linear function concepts, the meaning of the y-intercept of Ivania's position is given by:

Ivania begins the race 6 meters behind Javier.

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Ivania's equation is given by:

y = 9x - 6.

The y-intercept is of -6, which is her relative position, given by:

Ivania begins the race 6 meters behind Javier.

More can be learned about linear function concepts at https://brainly.com/question/24808124

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