Ben has a cell phone plan that provides 200 free minutes each month for a flat rate of $39. For any minutes over 200, Ben is charged $0.35 per minute. Which of the following piecewise functions accurately represents charges based on Ben's cell phone plan?
Answer:
\(\left\{\begin{matrix}39 & x\leq 200\\ 39+(x-200)\times 0.35 & x>200\end{matrix}\right.\)
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 \(x\leq 200\)
So, coat will be $39
If @@MATH_TOKEN_2@@
So, Ben is charged $0.35 per minute
So, when \(x>200\)
So, charge = \(39+(x-200)\times 0.35\)
So, the piecewise functions accurately represents charges based on Ben's cell phone :
\(\left\{\begin{matrix}39 & x\leq 200\\ 39+(x-200)\times 0.35 & x>200\end{matrix}\right.\)