Question

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 1

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

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
`x>200`

So, Ben is charged $0.35 per minute

So, when
`x>200`

So, charge =
`39+(x-200)* 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)* 0.35 & x>200\end{matrix}\right.`