Question

The equation y = 3.5x represents the rate, in miles

per hour, at which Laura walks.
The graph at right represents the rate at
which Piyush walks. Determine who walks
faster. Explain.

Answer 1

Piyush walks faster than Laura

Explanation:

Piyush walks faster than Laura

Answer 2

Piyush walks faster than Laura

Explanation:

we know that

The rate or speed is equal to the slope of the linear equation

Laura

y=3.5x

The slope is
`3.5\ (mi)/(h)`

Piyush

Determine the slope of the line

we have the points

(0,0) and (4,18)

The line represent a direct variation (because passes through the origin)

so

`m=(y)/(x)`

For x=4 h, y=18 mi

substitute

`m=(18)/(4)=4.5\ (mi)/(h)`

Compare the slopes

`4.5\ (mi)/(h) > 3.5\ (mi)/(h)`

therefore

Piyush walks faster than Laura