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Question 630458: Please help me with this problem, using the piecewise function:
f(x)= $5o if o< x < 60
4/3x - 30 if x > 60
this function describes the rate of a computer repairman.
The question is what is the cost if the repairman works for 45 minutes?
Thanks.
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! Since 45 minutes is BETWEEN 0 and 60 minutes, you use the first half of the formula, which is a flatrate $50. However, if the computer repairman runs OVER 60 minutes, then you use the rate of 4/3 x - 30. In other words, if it takes more than 60 minutes, they charge EXTRA, depending upon how long it takes. For example, if it takes 66 minutes, then you calculate 4/3*66-30, which is $58.
For additional help with most algebra topics, please see my own FREE website which can be found at the easy-to-remember and easy-to-spell link: www.mathinlivingcolor.com.
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
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