The Singh family takes a road trip every year. This year, the family recorded the total distance traveled after each hour and plotted the points on the graph below.

Question

The graph titled Singh family trip shows distance travelled in kilometers on y-axis and Hours spent driving on x-axis. There are points at (0, 0), (1, 75), (2, 150), (3, 225), (4, 300), and (5, 375).

What is the speed at which the Singh family traveled?

A.
50 kilometers per hour

B.
75 kilometers per hour

C.
100 kilometers per hour

D.
150 kilometers per hour

Answer 1

To determine the speed at which the Singh family traveled, we can look at the distance traveled over time.

From the data points provided, we see that at 1 hour, they traveled 75 kilometers; at 2 hours, they traveled 150 kilometers; at 3 hours, they traveled 225 kilometers; and so on. This shows a consistent pattern where the distance increases linearly.

To find the speed, we can calculate the distance traveled over 1 hour:

From hour 0 to hour 1:

• Distance = 75 kilometers - 0 kilometers = 75 kilometers.
• Time = 1 hour - 0 hours = 1 hour.

Speed = Distance / Time = 75 kilometers / 1 hour = 75 kilometers per hour.

Thus, the speed at which the Singh family traveled is:

B. 75 kilometers per hour.