document.write( "Question 315894: A temporary agency offers two payment options for administrative help:
\n" ); document.write( "Option1: $25 daily fee plus $10/hour; or
\n" ); document.write( "Option 2: No daily fee but $15/hour.
\n" ); document.write( " Let x = total hours worked.
\n" ); document.write( "a) Write a mathematical model representing the total temp cost, C, for a four-day temporary administrative assistant in terms of x for the following:
\n" ); document.write( "Option 1: C=_________________
\n" ); document.write( "Option 2: C=_________________
\n" ); document.write( "b) How many total hours would the temp need to work in the four day period for the cost of option 1 to be less than option 2. Set up an inequality and show your work algebraically using the information in part a. Don’t forget about the daily fee in Option 1 (it’s a four day proposition!). Do not assume an eight hour workday. Any number of hours per day is possible.
\n" ); document.write( "Answer:
\n" ); document.write( " Show your work here:
\n" ); document.write( "

Algebra.Com's Answer #226382 by moshiz08(60)\"\" \"About 
You can put this solution on YOUR website!
a) Option 1: $25 per day for 4 days means you pay a fixed cost of $100. Thus, C = 100 + 10h
\n" ); document.write( "Option 2: C = 15h \r
\n" ); document.write( "\n" ); document.write( "b) How many hours for cost of option 1 to be less than cost of option 2? \r
\n" ); document.write( "\n" ); document.write( "\"+100+%2B+10+h+%3C+15+h\" \r
\n" ); document.write( "\n" ); document.write( "Subtract 10h from both sides: \r
\n" ); document.write( "\n" ); document.write( "\"+100+%3C+5+h\" \r
\n" ); document.write( "\n" ); document.write( "Divide both sides by 5 to get: \r
\n" ); document.write( "\n" ); document.write( "\"+20+%3C+h+\" \r
\n" ); document.write( "\n" ); document.write( "that is, option 1 is cheaper when the temp works more than 20 hours \"h+%3E+20+\".
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