Susan decides to take as a transcriptionist so that she can work part-time from home.

Question

Susan decides to take as a transcriptionist so that she can work part-time from home. to get started, she has to buy a computer, headphones, and some special software together cost her $1000. The company pays her $0.004 per word, and Susan can type 90 words per minute.

A.how many hours must Susan work to break even, that is, to make enough to cover her $1000 start up cost?

B. if Susan works 4 hours a day 3 days a week, how much will she earn in a month?

What type of function did you use to model the scenario? Be specific.

Why did you choose that type of function? What characteristics of the model led you to make that choice?

Did you write a formula for the function? If not, do so now. Be sure to state what the independent and dependent variable represent in the model.

Answer 1

First, figure out how much she'll earn per min. .004 x 90 = $0.36 per min

$0.36 x 60 min/hr = $21.60 per hr

A.

Need to hit $1,000 for breakeven:

21.60h = 1000

h = 46 hrs for breakeven

B.

4 hrs/day x 3 days = 12 hrs total per week Then 4 weeks in a month means she worked 48 hrs that month.

Set up polynomial equation with e as earnings:

48h = e

48 x 21.60 = e -- We knew h from the beginning part when we found her hourly rate

$1,036.80 = e

H is the independent variable here since her hourly rate won't change. E is the dependent variable because it changes with the number of hours she works.