the graph below represents the distanve,y, car a travels in x mins. the table below represents distance,y, car b travels in x minutes which car os traveling at a grester speed. how do you know

the graph below represents the distanvey car a travels in x mins the table below represents distancey car b travels in x minutes which car os traveling at a gre class=

Respuesta :

Answer:

The cars travel at equal speeds at approximately

Explanation:

Speed is the ratio of distance to time.

Let distance be y

Let time be x

and speed be s

We have;

[tex]s=\frac{y}{x}[/tex]

The car with the greatest ratio of distance to time is the one with the greatest speed.

Let us test one after the other

For x = 15, y = 12.5

[tex]\begin{gathered} s=\frac{12.5}{15} \\ \\ =0.83 \end{gathered}[/tex]

For x = 30, y = 25

[tex]\begin{gathered} s=\frac{25}{30} \\ \\ =0.83 \end{gathered}[/tex]

For x = 45, y = 37.5

[tex]\begin{gathered} s=\frac{37.5}{45} \\ \\ =0.83 \end{gathered}[/tex]

Notice that this ratios are equal. Hence, we conclude that the cars travel at equal speeds