Answer:
[tex]\left\{\begin{matrix}39 & x\leq 200\\ 39+(x-200)\times 0.35 & x>200\end{matrix}\right.[/tex]
Step-by-step explanation:
We are given that Ben has a cell phone plan that provides 200 free minutes each month for a flat rate of $39.
We are also told that For any minutes over 200, Ben is charged $0.35 per minute.
let x be the minutes used each month
So, if [tex]x\leq 200[/tex]
So, coat will be $39
If [tex]x>200[/tex]
So, Ben is charged $0.35 per minute
So, when [tex]x>200[/tex]
So, charge = [tex]39+(x-200)\times 0.35[/tex]
So, the piecewise functions accurately represents charges based on Ben's cell phone :
[tex]\left\{\begin{matrix}39 & x\leq 200\\ 39+(x-200)\times 0.35 & x>200\end{matrix}\right.[/tex]
