Question

Directions. Read and understand each item carefully. Write your answers on the space provided.

1. Create a graphic representation based on the following data tabulated on Table 2 and make an interpretation of
the graph. Make sure to coordinate points correctly and trace line to show motion of the object.
Table 2. The distance travelled by a car in a given time.

(Dudes I need this today, pls answer this correctly)​

Answer 1

Please find attached the required graph of the data points

The graph can be interpreted as showing that which was at rest starts moving at a constant speed of 2 km/min

Step-by-step explanation:

The table is presented as follows;

`\begin{array}{lcl}Time \ (min)&& Distance \ (km)\\0&&0\\5&&10\\10&&20\\15&&30\\20&&40\\25&&50\\30&&60\end{array}`

The graphic representation of the above data can be created by plotting the Time on the x-axis and the Distance on the y-axis on a graph paper

The graph of the data can be created also using a spreadsheet application such as MS Excel by using the Chart function under the Insert menu, after selecting the points input into cells on the spreadsheet as shown in the attached drawing

The distance travelled by the car in a given time is found by obtaining the rate of change of the values of the graph, m, as follows;

`m =(y_(2)-y_(1))/(x_(2)-x_(1))`

Where (y₁, x₁), and (x₂, y₂) are a pair of chosen points on the given line

When, the chosen points are (y₁, x₁) = (0, 0), and (x₂, y₂) = (30, 60), we get;

`m =(60 \, km-0 \, km)/(30 \, min-0 \, min) = 2 \, km/min`

The graph can be interpreted as showing that the rate of change of the distance travelled by the car per unit time which is the speed of the car starting from rest is 2 km/min