Question

a plane is traveling at a constant speed of k kilometers per hour. which coordinate is represented on the graph?

Explanation:

Step1: Recall speed - distance - time formula

Speed \(s=\frac{d}{t}\), where \(s\) is speed, \(d\) is distance and \(t\) is time. Given speed \(s = K\) km/h.

Step2: Analyze coordinates on distance - time graph

The \(x\) - axis represents time (\(t\)) in hours and the \(y\) - axis represents distance (\(d\)) in km. If \(t = 1\) hour and \(s=K\) km/h, from \(s=\frac{d}{t}\), when \(t = 1\), \(d=s\times t=K\times1 = K\). So the coordinate \((1,K)\) represents that in 1 hour, the plane travels \(K\) kilometers.

Answer:

\((1,K)\)