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

Answer:

Piyush walks faster than Laura

Step-by-step explanation:

we know that

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

Laura

y=3.5x

The slope is $3.5\ \frac{mi}{h}$

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

$m=\frac{y}{x}$

For x=4 h, y=18 mi

substitute

$m=\frac{18}{4}=4.5\ \frac{mi}{h}$

Compare the slopes

$4.5\ \frac{mi}{h} > 3.5\ \frac{mi}{h}$

therefore

Piyush walks faster than Laura

Answer 2

Answer:

Piyush walks faster than Laura

Step-by-step explanation:

Piyush walks faster than Laura