Greatest Integer Function help

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SUMMARY

The discussion revolves around the formulation of a mathematical equation related to the Greatest Integer Function, specifically in the context of a plumber's charging structure. The correct equation should reflect a base charge of $80 plus an additional $25 per hour worked. The initial attempt at the equation, y=28[(x+1)]+80, was incorrect due to the misuse of the coefficient and the variable representation. The correct approach involves accurately defining the variable to represent hours worked without miscalculating the total charge.

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  • Understanding of the Greatest Integer Function
  • Basic algebraic equation formulation
  • Knowledge of piecewise functions
  • Familiarity with integer notation in mathematics
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Students studying algebra, educators teaching mathematical concepts, and anyone interested in applying mathematical functions to real-world scenarios, particularly in service industries.

Kino
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Greatest Integer Function.. help!

Homework Statement


Well this is the problem a plomer charges 80 bucks ones he arrives at your home and charges and extra 25 per hour.. Give the equation,,
Kind of i don't get it is for extra credit but still i don't like it when i don't know how to do it

2. The attempt at a solution
i put these but i think is wrong..
y=28[(x+1)]+80
But if i put 1hour.. plus 1 gives 2 hours so he would be chargin 2 hours just for working one..
Nice deal! hahaha But still i don't think this is it
 
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Welcome to PF!

Hi Kino! Welcome to PF! :smile:
Kino said:
… a plomer charges 80 bucks ones he arrives at your home and charges and extra 25 per hour..

y=28[(x+1)]+80

Well, basically it's right (except for the "28" of course :wink:) …

you just need to replace (x+1) by something else …

then you can check that it's right in exactly the same way that you checked that (x+1) was wrong. :smile:

(btw, what did this have to do with "greatest integer"? :confused:)
 


I meant the parentesis are the integers signs but i didnt now how to put them...
But today i may get the answer so i'll publish it
 

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