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Cerebrospinal fluid is continually produced and reabsorbed by the body at a rate that depends on its current volume. A medical researcher finds that absorption occurs at a rate of 0.34 mL/min when the volume of fluid is 145 mL and at a rate of 0.15 mL/min when the volume is 45 ml. (a) Suppose the absorption rate A is a linear function of the volume V. Sketch a graph of A(V). 0.5 Abs. Rate (mL/min) 0.5 Abs. Rate (mL/min) 0.4 0.4 0.3 0.3 0.2 0.2 0.1 0.1 Volume (mL) 150 Volume (mL) 150 50 100 O 50 100 Abs. Rate (mL/min) Abs. Rate (mL/min) 150 150 100 100 50 50 Volume (mL) Volume (mL) 0.4 0.5 0.1 0.2 0.3 0 0.1 0.2 0.3 0.4 0.5 (b) What is the slope of the graph? 0.0019 min-1 What does it represent? The slope represents the rate of change of absorption by 0.0019 ✓ mL/min for each 1 mL increase in V. with respect to volume In this case, A increases (c) What is the A-intercept of the graph? 0.34 x mL/min What does it represent? The A-intercept is the rate of absorption corresponding to a cerebrospinal fluid volume of 0 mL.