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Speed cell wireless offers a plan of $40 for the first 400 minutes, and an additional $0.50 for every minute over 400. Let t represent the total talk time in minutes. Write a piecewise-defined function to represent the cost C(t)

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Answer:

Step-by-step explanation:

c(t)=40:0≤t≤400

=40+0.50 (t-400):t≥400

The function that represent cost is,  [tex]C(t)=40+0.5(t-400)[/tex]

In given question, t represent the total talk time in minutes.

Since, for first 400 minute , Speed cell wireless offers a plan of $40

For remaining time , additional $0.50 for every minute

Remaining time =(t - 400 ) minutes

So, cost for over 400 minute =  [tex]0.5(t-400)[/tex] $

Thus, total cost ,  [tex]C(t)=40+0.5(t-400)\[/tex]

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