Life science: maximum heart rate. A person exercising should not exceed a maximum heart rate, which depends on his or her gender, age, and resting heart rate. The following table shows data relating resting heart rate and maximum heart rate for a 20-yr-ald woman. [ R .6 ] Resting Heart Rate, r (in beats per minute) Maximum Heart Rate, M (in beats per minute) 50 170 60 172 70 174 80 176 ( Source : American Heart Association) a. Using the data points (50, 170) and (80, 176), find a linear function that fits the data. b. Graph the scatterplot and the function on the same set of axes. c. Use the function to predict the maximum heart rate of a woman whose resting heart rate is 67.
Life science: maximum heart rate. A person exercising should not exceed a maximum heart rate, which depends on his or her gender, age, and resting heart rate. The following table shows data relating resting heart rate and maximum heart rate for a 20-yr-ald woman. [ R .6 ] Resting Heart Rate, r (in beats per minute) Maximum Heart Rate, M (in beats per minute) 50 170 60 172 70 174 80 176 ( Source : American Heart Association) a. Using the data points (50, 170) and (80, 176), find a linear function that fits the data. b. Graph the scatterplot and the function on the same set of axes. c. Use the function to predict the maximum heart rate of a woman whose resting heart rate is 67.
Solution Summary: The author calculates the linear function that fits data using points (50,170) and
Life science: maximum heart rate. A person exercising should not exceed a maximum heart rate, which depends on his or her gender, age, and resting heart rate. The following table shows data relating resting heart rate and maximum heart rate for a 20-yr-ald woman.
[
R
.6
]
Resting Heart Rate, r (in beats per minute)
Maximum Heart Rate, M (in beats per minute)
50
170
60
172
70
174
80
176
(Source: American Heart Association)
a. Using the data points (50, 170) and (80, 176), find a linear function that fits the data.
b. Graph the scatterplot and the function on the same set of axes.
c. Use the function to predict the maximum heart rate of a woman whose resting heart rate is 67.
Definition Definition Representation of the direction and degree of correlation in graphical form. The grouping of points that are plotted makes it a scatter diagram. A line can be drawn showing the relationship based on the direction of points and their distance from each other.
Two cables tied together at C are loaded as shown. Given: Q = 130 lb.
8
30°
C
B
Q
3
4
Draw the free-body diagram needed to determine the range of values of P for which both cables remain taut.
Cable AB is 103 ft long and the tension in the cable is 3900 lb.
56 ft
A
50°
20°
B
x
C
Identify the angles 0.0, and 8, that define the direction of force.
1
By
N
2
Match each of the options above to the items below.
142.1°
57.1°
73.3°
3
8.
In the given figure, P = 51 lb .
65°
C
25°
35°
75 lb
P
Determine the corresponding magnitude of the resultant.
The corresponding magnitude of the resultant is|
lb.
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