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?
A. f (x) =
39, x> 200
39+. 35, x < 200
B. f (x) =
39, x 200
35(x-200), x > 200
C. f(x) =
39,
x200
35x, x > 200
D. f (x) =
39.x200
39+. 35(x-200), x > 2001

Answer 1

The piecewise functions accurately represents charges based on Ben's cell phone plan is :

`f(x)= 39, x \leq 200\\f(x)=39 + 0.35(x - 200), x > 200}`

Explanation:

Let x be the minutes over cell phone

Let f(x) represents the piecewise function that represents the charges based on Ben's cell phone plan.

We are given that Ben has a cell phone plan that provides 200 free minutes each month for a flat rate of $39.

So,
`f(x)= 39, x \leq 200`

We are also given that For any minutes over 200, Ben is charged $0.35 per minute.

So, Minutes over 200 = x-200

`f(x)=39 + 0.35(x - 200), x > 200}`

Hence the piecewise functions accurately represents charges based on Ben's cell phone plan is :

`f(x)= 39, x \leq 200\\f(x)=39 + 0.35(x - 200), x > 200}`