SOLUTION: A bookkeeper charges $25 per hour of work and rounds the actual work time up to the nearest hour. Write a function to represent the total cost for x hours of work. What type of s

Question 190282This question is from textbook saxon algebra 2
: A bookkeeper charges $25 per hour of work and rounds the actual work time up to the nearest hour. Write a function to represent the total cost for x hours of work. What type of step function is this function? Explain. This question is from textbook saxon algebra 2

Found 2 solutions by feliz1965, solver91311:
Answer by feliz1965(151) (Show Source): You can put this solution on YOUR website!
I don't know if the word step function applies to this question.
Let x = hours
Let C(x) = total cost
Then C(x) = 25x
This is a linear function.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

This is the least integer function (LIF) returning the least integer greater than or equal to any real number x argument, denoted [x).

R(x) = 25( [x) )

So, if he works for less than one hour, the LIF returns 1 and he gets $25. If he works for 4 hours and 2 minutes, the LIF returns 5 and he gets $125.

John

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