Answer:
The piecewise functions accurately represents charges based on Ben's cell phone plan is :
[tex]f(x)= 39, x \leq 200\\f(x)=39 + 0.35(x - 200), x > 200}[/tex]
Step-by-step 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,[tex]f(x)= 39, x \leq 200[/tex]
We are also given that For any minutes over 200, Ben is charged $0.35 per minute.
So, Minutes over 200 = x-200
[tex]f(x)=39 + 0.35(x - 200), x > 200}[/tex]
Hence the piecewise functions accurately represents charges based on Ben's cell phone plan is :
[tex]f(x)= 39, x \leq 200\\f(x)=39 + 0.35(x - 200), x > 200}[/tex]
