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Number
& Math Play
Which
Wages? |
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A man applied for a job. The woman who interviewed
him offered him two pay rates: a straight rate of
$100 a day or a pay rate that would begin at one
cent the first day and then double each day. The
second rate meant the man would earn two cents the
second day, four cents the third day, eight cents
the fourth day, and so on. The man chose the second
rate, and the woman hired him. Tell why, and prove your case.
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The woman hired the man because she wanted a smart
employee, and he was smart enough to figure out
that he would accumulate much more money at the
second pay rate as soon as he got to the 18th day
of work. It's true that at Day 10, the first rate
would pay him a total of $1,000, for the first 10
days and the second rate would pay him a total of
only $10.23 for the same ten days. By day 19, however,
the first rate would earn him a total of $1,900,
but the second rate would earn him $2,621.44 just
for that day! And the man's earnings would keep
increasing by leaps and bounds.
Source:The Best of Brain
Teasers from Teacher Created Materials,p.
127
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