Can someone explain to me what to do here. You don\'t have to give me answer but
ID: 3099940 • Letter: C
Question
Can someone explain to me what to do here. You don't have to give me answer but if you can explain to me what I should do it will be great. Thanks
You get hired for a new job that will only last for one month (31 days, you work 7 days a week) and you are offered the two following payment plans to choose from:
Plan A: $4,000 per day for the whole month with a $10,000 signing bonus.
Plan B:
$0.01 for day 1
$0.02 for day 2
$0.04 for day 3
$0.08 for day 4
$ 0.16 for day 5
and so on
every day is double the previous days salary,with no signing bonus.
a.) Create two functions that model each of these payment plans, where t is the number of days. (Plan A function, A(t), will respresent what you earn total over the whole 31 days, Plan B's function, B (t), will represent what you earn each individual day.)
b.) Calculate how much you will make in one month of Plan A
c.) Calculate how much you will make on the 3st day of Plan B.
Explanation / Answer
First, I want you to note that Plan A is a liner function (straight line) and Plan B is an exponential function (curved line.) Why is this? Because Plan A gives you the same amount of money every day, no matter what the day, but Plan B keeps doubling the amount of money it's giving you every day.
Day
1
2
3
4
5
6
Money
14,000
18,000
22,000
26,000
30,000
34,000
Plan B: Forumula -> y=2(X-1)
The slope is not measureable as it keeps changing
Day
1
2
3
4
5
6
Money
$0.01
$0.02
$0.04
$0.08
$0.16
$0.32
b.
To solve for how much you will make in one month, substitute 31 for X in formula A
y = 4000(31)+10000
and you get $124,000 + $10,000 -----------> $134,000.00
Seems like a lot doesnt it? :]
c.
To solve for how much you will make in one month, substitue 31 for X in formula B
y =2(31-1) And gyou get y=230
Which equals $10,773,741,824.00 BUT you have to move the decimal over two places as you werent doubling dollars, you were doubling pennies. -------------->$107,737,418.24
WOW! Yea, forget the signing bonus i'll take the doubling pennies! That's over 100 Million!
I hope this helps, good luck with your studies. : ]
Day
1
2
3
4
5
6
Money
14,000
18,000
22,000
26,000
30,000
34,000