Exercise is useful not only in preventing depression, but also as a treatment. The following graphs show the percentage of patients with depression in remission when exercise (brisk walking) was used as a treatment. (The control group that engaged in no exercise had 11% of the patients in remission.) Exercise and Percentage of Patients with Depression in Remission 60% 60% (180, 42) 50% 50% 42 40% 40% 30% 26 30% 20% 20% (80, 26) 10% 10% 80 180 60 100 140 180 Amount of Brisk Amount of Brisk Walking (minutes) Walking (minutes) Source: Newsweek, March 26, 2007 a. Find the slope of the line passing through the two points shown by the voice balloons. Express the slope as a decimal. b. Use your answer from part (a) to complete this statement: Foreach minute of brisk walking, the percentage of patients with depression in remission increased by rate of change is . %. The % per Percentage with Depression in Remission Percentage with Depression in Remission

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Exercise is useful not only in preventing depression, but also
as a treatment. The following graphs show the percentage of
patients with depression in remission when exercise (brisk
walking) was used as a treatment. (The control group that
engaged in no exercise had 11% of the patients in remission.)
Exercise and Percentage of Patients
with Depression in Remission
60%
60%
(180, 42)
50%
50%
42
40%
40%
30%
26
30%
20%
20%
(80, 26)
10%
10%
80
180
60 100 140 180
Amount of Brisk
Amount of Brisk
Walking (minutes)
Walking (minutes)
Source: Newsweek, March 26, 2007
a. Find the slope of the line passing through the two points
shown by the voice balloons. Express the slope as a
decimal.
b. Use your answer from part (a) to complete this statement:
Foreach minute of brisk walking, the percentage of patients
with depression in remission increased by
rate of change is .
%. The
% per
Percentage with
Depression in Remission
Percentage with
Depression in Remission
Transcribed Image Text:Exercise is useful not only in preventing depression, but also as a treatment. The following graphs show the percentage of patients with depression in remission when exercise (brisk walking) was used as a treatment. (The control group that engaged in no exercise had 11% of the patients in remission.) Exercise and Percentage of Patients with Depression in Remission 60% 60% (180, 42) 50% 50% 42 40% 40% 30% 26 30% 20% 20% (80, 26) 10% 10% 80 180 60 100 140 180 Amount of Brisk Amount of Brisk Walking (minutes) Walking (minutes) Source: Newsweek, March 26, 2007 a. Find the slope of the line passing through the two points shown by the voice balloons. Express the slope as a decimal. b. Use your answer from part (a) to complete this statement: Foreach minute of brisk walking, the percentage of patients with depression in remission increased by rate of change is . %. The % per Percentage with Depression in Remission Percentage with Depression in Remission
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