SOLUTION: a temporary agency offers two payment options for administrative help: option 1: $25 daily fee plus $10/hour or option 2:no daily fee but $15/hour Let x= total hours worked a

Question 395175: a temporary agency offers two payment options for administrative help:
option 1: $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: C=
Option 2: C=
1.)how many total hours would the temp need to work in the four day period for the cost 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 (its a four day proposition!). Do not assume an 8 hour work day. Any number of hours per day is possible.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
a temporary agency offers two payment options for administrative help:
option 1: $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: C=
Option 2: C=
1.)how many total hours would the temp need to work in the four day period for the cost 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 (its a four day proposition!). Do not assume an 8 hour work day. 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 greater than 20 hours
...
m.ananth@hotmail.ca
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