1. Absorbing Cerebrospinal Fluid [11] 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 0.35 mL/min when the volume of fluid is 150 mL and at a rate of 0.14 mL/min when the volume is 50 mL. Answer the following questions: (a) Suppose the absorption rate A, is a linear function of the volume V . Find the equation of the linear function using the information above and then sketch a graph of A (V )vs V .[7] (b) State in your own words what does the slope of the graph that you calculated in part (a) above represent?[2] (c) Find the A-intercept of the graph and what does it represent?[2]
1. Absorbing Cerebrospinal Fluid [11]
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 0.35 mL/min when the volume of fluid is 150 mL and at a rate of 0.14 mL/min when the volume is 50 mL.
Answer the following questions:
-
(a) Suppose the absorption rate A, is a linear function of the volume V . Find the equation of the
linear function using the information above and then sketch a graph of A (V )vs V .[7]
-
(b) State in your own words what does the slope of the graph that you calculated in part (a) above
represent?[2]
-
(c) Find the A-intercept of the graph and what does it represent?[2]
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