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A car traveled 400 km in 5 hours. Ahmed calculated the speed as 80 km/h but, when he graphed the relation, he calculated a slope of 0.0125. What do you think Ahmed did incorrectly?

a. Ahmed miscalculated the speed.
b. Ahmed incorrectly measured the time.
c. Ahmed calculated the slope incorrectly.
d. Ahmed made no mistake; he calculated the correct speed.

1 Answer

2 votes

Final answer:

Ahmed calculated the correct speed of the car as 80 km/h; however, he miscalculated the slope of the distance vs time graph, which should also be 80, representing the speed.

Step-by-step explanation:

The student's question pertains to determining whether Ashmed calculated the speed or slope correctly.

Given that a car traveled 400 km in 5 hours, the correct average speed is simply the total distance divided by the total time, which is 80 km/h.

This calculation is correct, as confirmed by the formula for average speed: Vavg = distance/time = 400 km / 5 h = 80 km/h.

However, Ahmed's calculated slope of 0.0125 seems incorrect since the slope of the graph representing distance versus time should be equivalent to the speed.

To find the correct slope, you would divide the change in distance (400 km) by the change in time (5 hours), which would indeed give 80 or 80/1.

Therefore, his mistake lies in calculating the slope incorrectly, not the speed.

User Ravi Shankar
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