Question

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.

Answer 1

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 2

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.