Question

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.

Answer 1

Plan A: The "signing bonus" is the initial value of the amount of money earned, and is represented by "b" in the slope-intercept equation y = mx + b.

Thus, under plan A, the earnings are E = $4000t + $10000, where t is the number of days worked. Substitute 31 for t to find the total this person could earn under Plan A.


Plan B: The amount the worker earns doubles each day. First day: $0.01, second day: 2($0.01) = $0.02; third day: $0.03. This seems to answer "Calculate how much you will make on the 3st day of Plan B."

However, I think you meant "31st day," not "3st day." Thus, answer the following:

Calculate how much you will make on the 31st day of Plan B.

First day: $0.01, or $0.01(2)^(1-1)
Second day: $0.01(2)^(2-1) = $0.01(2^1)=$0.02
Third day: $0.01(2)^(3-1) = $0.01(2)^(3-1) = $0.01(4) = $0.04

nth day: $0.01(2)^(n-1)

Let n =31 and calculate the pay for that day.