A cardiac monitor is used to measure the heart rate of a patient after surgery. It compiles the number of heartbeats after T minutes. When the data in the table are graphed, the slope of the tangent line represents the heart rate in beats pero minute. The monitor estimates this value by calculating the slope of a secant line. Use the data to estimate the patient's heart rate after 42 minutes using the secant line between the points with the given values of T. (give answers correct to 1 decimal place)
T (min)- --36-----38-----40-----42------44
HBeats--2526--2665--2803--2936--3070
a) T = 36 and T = 42
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b) T = 38 and T = 42
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c) T = 40 and T = 42
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d) T = 42 and T = 44
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2007-09-11 21:33:56 · 1 answers · asked by Rrrr0001 1 in Science & Mathematics ➔ Mathematics
The slope of the secant line is the difference in the number of heartbeats divided by the difference in the number of minutes:
a) (2936 - 2526) / (42 - 36) = 410 / 6 = 68.3 bpm
b) (2936 - 2665) / (42 - 38) = 271 / 4 = 67.8 bpm
c) (2936 - 2803) / (42 - 40) = 133 / 2 = 66.5 bpm
d) (3070 - 2936) / (44 - 42) = 134 / 2 = 67.0 bpm.
2007-09-11 22:32:40 · answer #1 · answered by Scarlet Manuka 7 · 0⤊ 0⤋