Question

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

Answer 1

The cars travel at equal speeds at approximately

Step-by-step explanation:

Speed is the ratio of distance to time.

Let distance be y

Let time be x

and speed be s

We have;

`s=(y)/(x)`

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

`\begin{gathered} s=(12.5)/(15) \\ \\ =0.83 \end{gathered}`

For x = 30, y = 25

`\begin{gathered} s=(25)/(30) \\ \\ =0.83 \end{gathered}`

For x = 45, y = 37.5

`\begin{gathered} s=(37.5)/(45) \\ \\ =0.83 \end{gathered}`

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