Question

I didn't know how to do this "Who, if anyone, traveled at a aster speed? Explain."

Answer 1

Given:

The graph shows the relationship between the total distance Dominique traveled and the time.

The distance Ella traveled after x hours is represented by the equation,

`y=550x..........\left(1\right)`

To find out: who traveled at a faster speed if anyone.

Step-by-step explanation:

Let us find the equation of the line for Dominique.

Consider two points,

`\lparen0,0),\left(2,1100\right)`

Using the two-point formula,

`\begin{gathered} (y-y_1)/(y_2-y_1)=(x-x_1)/(x_2-x_1) \\ (y-0)/(1100-0)=(x-0)/(2-0) \\ (y)/(1100)=(x)/(2) \\ y=(1100)/(2)x \\ y=550x..........\left(2\right) \end{gathered}`

It is of the form,

`y=mx+c,\text{ where m is the slope.}`

Since the slope (i.e. speed) of the equation is m = 550 which is equivalent to the slope (i.e speed) of the equation Ella's.

Therefore, both traveled at the same speed.

Final answer:

Both traveled at the same speed.