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?

Verified Answer :

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 :

\(\left\{\begin{matrix}39 & x\leq 200\\ 39+(x-200)\times 0.35 & x>200\end{matrix}\right.\)

Answer:C

Step-by-step explanation: