Question 394729
A temporary agency offers two payment options for administrative help:
Option1:  $25 daily fee plus $10/hour; or
Option 2:  No daily fee but $15/hour.
	Let x = total hours worked. 

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:
Option 1: 
Option 2: 	
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.
Answer:

Option 1: C=100+10x
Option 2: C=15x	

option 1 < option 2
100+10x < 15x
add -10x to both sides
100+10x-10x<15x-10x
100<5x
/5
20<x
greater than 20 hours 
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m.ananth@hotmail.ca