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 per minute. The

1
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
per 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 t 38 and t 42. t (min)
36 38 40 42
44 Heartbeats 2,500 2,700 2,900
2,990 3,050 Choose the correct answer from
the following

1. 145
2. -71.5
3. 77.5
4. 82.5
5. 71.5
6. 72.5

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2
If a ball is thrown into the air with a velocity
of 45 ft/s, its height in feet after t seconds is
given by image . Find the instantaneous
velocity when t 5.

1. -85
2. -102
3. -97
4. -95
5. -91
6. -96

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3
The displacement (in feet) of a certain particle
moving in a straight line is given by image
where t is measured in seconds. Find the average
velocity over the interval 1, 1.7.

1. 1.4075
2. 1.3985
3. 1.2965
4. 1.3975
5. 1.3875
6. 1.5075

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4
The point P(1, 0) lies on the curve image . If
Q is the point ( image ), find the slope of the
secant line PQ (correct to four decimal places)
for image .

1. m PQ 2.1651
2. m PQ 2.1653
3. m PQ -2.1651
4. m PQ -2.1650

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5
A tank holds 1000 gallons of water, which drains
from the bottom of the tank in half an hour. The
values in the table show the volume V of water
remaining in the tank (in gallons) after t
minutes. If P is the point (15, 284 ) on the
graph of V, find the slope of the secant line PQ
when Q is the point on the graph with t 25. t
(min) 5 10 15 20
25 30 V (gal) 652 465
284 174 17 0 Choose the
correct answer from the following

1. -36.8
2. -26.7
3. -18.933333
4. 22
5. 18.933333
6. 26.7

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