| ACTIVITY:
The Best Summer Job Offer Ever! |
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Summer is rapidly approaching and you
are looking for a job. You just got a fabulous offer in the mail. Here’s
the letter:
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Dear _______,
Your application for a job with Fly by Night Widgets
for next summer has been reviewed by our personnel
department and we would like to inform you that YOU GOT THE
JOB! You will be working the entire month of July as a
widget entrepreneur. As far as payment is concerned, the
wage distributor offers you a choice of payment schemes.
Payment plan #1: You can start with $50 the first
day, then you will get an additional $2 each day. That means
you will make $50 on day #1, $52 on day #2, $54 on day #3,
and so on for the entire month.
Payment plan #2: You will be paid 1¢ the first day,
2¢ the second, 4¢ the third, 8¢ the fourth and so on for the
twenty two days you work.
Payment plan #3: You will be
paid 1$ the first day, 4$ the second day and 9$ the third
day, 16$ the fourth day and so on.
Now our liberal fringe benefits
includes holidays, Saturdays and Sundays off (at no pay), so
that your total number of working days will be 22.
Please circle the plan you wish to have
-->
plan 1 plan 2
plan 3
Welcome aboard! We look forward to seeing you next summer.
Sincerely yours,
Mr. & Mrs. Widget |
--> Key Guiding Question?
- Which plan did
you choose? Why?
- How much will
you make on the 5th day under each of the payment plans?
How did you calculate that?
- For payment
plan 1, how would you figure out how much you make on the nth
day where n is any number of days from 1 to 22?
- For payment
plan 3, how would you figure out how much you make on the nth
day where n is any number of days from 1 to 22?
- Which plan
will make you the most money after 22 days? How much money will
you make?
- If you planned
to quit after 7 days of work, which plan should you use? How much
money will you make?
- If you plan to
quit after 14 days of work, which plan should you use? How much
money will you make?
- According to
your graph and equation of the line, why do you have different
answers for questions 3, 4 & 5?
- According to
the graph of all 3 payment plans, on what day is the total money
earned for payment plan 1 and 2 equal? (You may have to change the
scale of the y-axis on your graph to 0-500 or something like that in
order to improve your resolution.) Confirm that with your data
table. Approximately how much is the daily pay?
- According to
the graph of all 3 payment plans, on what day is the total money
earned for payment plan 2 and 3 equal? Confirm that with your data
table. Approximately how much is the daily pay?
Advanced
question:
- Using the
equations of a line, when are the equations for payment plan 1 and 3
equal? How many days of work? Confirm that with your data table
and graph and with your equations.
Homework
assignment
Write a short report outlining which
payment plan you would choose depending on whether or not you work 5,
10, 15 or 22 days. Use charts and graphs to support your decision.
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