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Tracy has a cell phone plan that provides 250 free minutes each month for a flat rate of $29. For any minutes over 250, Tracy is charged $0.35 per minute. Which of the following piecewise functions represents charges based on Tracy's cell phone plan?

Tracy has a cell phone plan that provides 250 free minutes each month for a flat rate of 29 For any minutes over 250 Tracy is charged 035 per minute Which of t class=

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apologiabiology
250 free minutes means you can use 250 minutes free


for x≤250, f(x)=29
for te over one, the 250 free ones are not counted so minus 250 from minuttes and add the 29 flat rate
for x>250, f(x)=29+0.25(x-250)


A is the answer
raphealnwobi

The piecewise function that represent Tracy cell phone plan is:

[tex]f(x)=\left \{ {{29,x\le 250} \atop {29+0.35(x-250),x\ge 250}} \right.[/tex]

Let x represent the total time spent calling and f(x) represent the charges.

Since Tracy is charged $29 for 250 free minutes, hence:

For x ≤ 250, f(x) = $29

Tracy is charged an extra $0.35 per minute for calls over 250 minutes, hence:

For x ≥ 250, f(x) = 29 + 0.35(x - 250)

Therefore this can be represented by the piecewise function:

[tex]f(x)=\left \{ {{29,x\le 250} \atop {29+0.35(x-250),x\ge 250}} \right.[/tex]

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