SOLUTION: 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 worke

Question 315894: 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: C=_________________
Option 2: C=_________________
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:
Show your work here:
Answer by moshiz08(60) (Show Source): 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
Option 2: C = 15h
b) How many hours for cost of option 1 to be less than cost of option 2?

Subtract 10h from both sides:

Divide both sides by 5 to get:

that is, option 1 is cheaper when the temp works more than 20 hours .
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