(a)
Find the time he will row on the 18th day.
(a)
Answer to Problem 32PPS
30.5 minutes
Explanation of Solution
Given:
Mario began an exercise program to get back in shape. He plans to row 5 minutes on his rowing machine the first day and increase his rowing time by one minute and thirty seconds each day.
How long will he row on the 18th day?
Concept Used:
He plans to row 5 minutes on his rowing machine the first day and increase his rowing time by one minute and thirty seconds each day.
Calculation:
The general equation for nth term:
Now find the 18th term of the sequence:
Thus, on 18th day he will row 30.5 minutes.
(b)
Find the day when he will first row an hour or more.
(b)
Answer to Problem 32PPS
38th day
Explanation of Solution
Given:
Mario began an exercise program to get back in shape. He plans to row 5 minutes on his rowing machine the first day and increase his rowing time by one minute and thirty seconds each day.
On what day will first row an hour or more?
Concept Used:
He plans to row 5 minutes on his rowing machine the first day and increase his rowing time by one minute and thirty seconds each day.
Calculation:
The general equation for nth term:
Find n:
On 38th day Mario will first row an hour or more.
Thus, on 38th day Mario will first row an hour or more.
(c)
Explain how this pattern continues indefinitely.
(c)
Answer to Problem 32PPS
The pattern will probably not continue indefinitely
Explanation of Solution
Given:
Mario began an exercise program to get back in shape. He plans to row 5 minutes on his rowing machine the first day and increase his rowing time by one minute and thirty seconds each day.
Is it reasonable for this pattern to continue indefinitely? Explain.
Concept Used:
The pattern will probably not continue indefinitely because as the number of days grows, it will assume he rows for an infinite amount of time. It is doubtful that he can row for hours on end.
Thus, the pattern will probably not continue indefinitely
Chapter 10 Solutions
Glencoe Algebra 2 Student Edition C2014
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