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4 this graph shows the motion of a bus. distance traveled by bus graph:…

Question

4 this graph shows the motion of a bus. distance traveled by bus graph: x - axis time (minutes) with labels 2, 3, 4, 5, 6, 7; y - axis distance (meters) with labels 1000, 2000, 3000, 4000, 5000, 6000, 7000. data points at (1, 1000), (2, 2000), (3, 3000), (4, 4000), (5, 5000), (6, 6000). if the bus continues moving at the same speed, what is the total distance that it will have traveled in 7.5 minutes? f 1500 m g 7000 m h 7500 m j 8000 m

Explanation:

Step1: Determine the speed of the bus

From the graph, at \( t = 1 \) minute, the distance \( d = 1000 \) meters. Speed \( v=\frac{d}{t}=\frac{1000}{1}=1000 \) meters per minute.

Step2: Calculate the distance at 7.5 minutes

Using the formula \( d = v\times t \), with \( v = 1000 \) m/min and \( t = 7.5 \) min, we get \( d=1000\times7.5 = 7500 \) meters.

Answer:

H. 7500 m