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The linear function y = 1.2x represents Alberto’s speed, y, in meters per minute, when his stride rate is x steps per minute.


Explain what the slope and y-intercept of the linear model represent in the context of the situation.

Verified Answer :

ninaofmidgard

The slope is the rate in which he is moving and the y-intercept is where he started (at 0 seconds and 0 meters).

Answer with explanation:

The linear function is given by:

              \(y=1.2x\)

where y represents Alberto's speed in meters per minutes.

when his stride rate is x steps per minute.

We know that for any linear function of the type:

  \(y=mx+c\)

m represents the slope and c represents the y-intercept of the function.

  • Here m=1.2 and c=0

i.e. the slope represents the stride rate of Alberto i.e. the rate at which he is walking.

  • and the y-intercept represents the speed of Alberto when he took 0 steps i.e when x=0.

It represents that his speed is 0 meter per minutes when he did not took any step.

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