When a medical sample arrives at the laboratory, it is placed in a queue before being processed. The medical samples are processed at a constant rate of 150 samples per hour. Let the function p(t)=150 represent the rate at which medical samples are processed. Figure 5 shows the graphs of y = m(t) and y=p(t), where 0≤t≤9. The graphs of y = m(t) and y=p(t) intersect at t = 0.670 and t=3.36 (correct to three significant figures). 250+ 200 y 150 100- 50+ 2 3 4 p(1) Figure 5 m(1) 5 6 7 8 (c) At 8.00 am (t=0), the laboratory had 600 medical tests in the queue to be processed. (i) Explain why the number of items in the queue is decreasing until 0.670 hours after 8.00 am. (ii) During the time that the number of items in the queue was increasing, the queue increas by K medical samples. (1) Write an integral expression that could be used to calculate K. (2 marke)

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