
Concept explainers
(a)
To find: The average rate of change in Lisa’s temperature from 8:00 A.M on Monday to 8:00 P.M on Monday.
(a)

Answer to Problem 11PPS
Theaverage rate of change in Lisa’s temperature from 8:00 A.M on Monday to 8:00 P.M on Monday is
Explanation of Solution
Given:
The following table shows Lisa’s temperature during an illness over 3-day period.
Day | Monday | Tuesday | Wednesday | |||
Time | 8:00 A.M | 8:00 P.M | 8:00 A.M | 8:00 P.M | 8:00 A.M | 8:00 P.M |
Temp |
Calculation:
Find the rate of change as follows.
Therefore, the average rate of change is
(b)
To find: The average rate of change in Lisa’s temperature from 8:00 A.M on Tuesday to 8:00 P.M on Wednesday, whether the answer is reasonable and find the meaning of sign of rate of change.
(b)

Answer to Problem 11PPS
The average rate of change from 8:00 A.M on Tuesday to 8:00 P.M on Wednesday is
Explanation of Solution
Find the rate of change as follows.
Therefore, the average rate of change is
The average rate of change from 8:00 A.M on Tuesday to 8:00 P.M on Wednesday is
(c)
To find: The 12-hour period at which the average rate of change in Lisa’s temperature is greatest.
(c)

Answer to Problem 11PPS
Theaverage rate of change in Lisa’s temperature was greatest during Monday 8:00 A.M to Monday 8:00 P.M.
Explanation of Solution
Theaverage rate of change in Lisa’s temperature from 8:00 A.M on Monday to 8:00 P.M on Monday is
Theaverage rate of change in Lisa’s temperature from 8:00 A.M on Monday to 8:00 P.M on Tuesday is
Theaverage rate of change in Lisa’s temperature from 8:00 A.M on Tuesday to 8:00 P.M on Tuesday is
Theaverage rate of change in Lisa’s temperature from 8:00 A.M on Tuesday to 8:00 P.M on Wednesday is
Theaverage rate of change in Lisa’s temperature from 8:00 A.M on Wednesday to 8:00 P.M on Wednesday is
Therefore, the average rate of change in Lisa’s temperature was greatest during Monday 8:00 A.M to Monday 8:00 P.M.
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Algebra 2
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