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6. Solve a simpler problem/look for a pattern A man earns $1 on the first day of a job. The second day, he is paid $2, the third day $4, the fourth day $8, and so on. Each day, his salary is twice that of the preceding day. He plans to stay on the job for 15 days and wishes to know what his total earnings will be. Find an easier way to determine his total salary without adding up all fifteen days' earnings. [This could also be considered a "looking for a pattern" problem.] 

          6.
Solve a simpler problem/look for a pattern
A man earns $1 on the first day of a job. The second day, he is paid $2, the third day $4, the fourth day
$8, and so on. Each day, his salary is twice that of the preceding day. He plans to stay on the job for 15
days and wishes to know what his total earnings will be. Find an easier way to determine his total salary
without adding up all fifteen days' earnings. [This could also be considered a "looking for a pattern"
problem.]
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6. Solve a simpler problem/look for a pattern A man earns 1 on the first day of a job. The second day, he is paid2, the third day 4, the fourth day8, and so on. Each day, his salary is twice that of the preceding day. He plans to stay on the job for 15 days and wishes to know what his total earnings will be. Find an easier way to determine his total salary without adding up all fifteen days' earnings. [This could also be considered a "looking for a pattern" problem.]

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Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
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Solve a simpler problem/look for a pattern A man earns $1 on the first day of a job. The second day, he is paid $2, the third day $4, the fourth day $8, and so on. Each day, his salary is twice that of the preceding day. He plans to stay on the job for 15 days and wishes to know what his total earnings will be. Find an easier way to determine his total salary without adding up all fifteen days' earnings. [This could also be considered a "looking for a pattern" problem.] 6. Solve a simpler problem/look for a pattern A man earns $1 on the first day of a job. The second day, he is paid $2, the third day $4, the fourth day $8, and so on. Each day, his salary is twice that of the preceding day.He plans to stay on the job for 15 days and wishes to know what his total earnings will be. Find an easier way to determine his total salary without adding up all fifteen days' earnings. [This could also be considered a "looking for a pattern problem.]
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Transcript

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00:01 All right, let's get started with mr.
00:02 Fernandez.
00:03 He gets paid $28 .50 per hour.
00:07 And if it's overtime, he gets 1 .75 times his regular rate, which is 28 .5.
00:18 So in this case, when he has overtime hours, when we're called ot, he makes actually 49 .875.
00:31 That is his rate per hour when he's doing overtime.
00:34 So since he's worked 45 hours this week, we can split this up into 40 regular hours plus five overtime hours.
00:45 So if we do the 40 regular hours times his regular rate, we get that he makes 1 ,400 for his regular 48 hours.
01:00 Now, if we take the five overtime hours times the rate at which he gets paid, do five times.
01:07 Times 49 .875, then he gets an extra $249 and about $0 .38.
01:24 So we want to add these two amounts together.
01:28 So he would be taking home or making $1 ,389 and about $38.
01:39 Cents...
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