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Mama L [17]
3 years ago
11

A long distance phone service charges $0.30 for the first 10 minutes and $0.05 for each additional minute or fraction thereof. U

se the greatest integer function to write the cost C of a call in terms of time t (in minutes). Sketch the graph of this function and discuss its continuity.

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
4 0

Answer: Our Cost function is discontinuous at every integer after x>10.

Step-by-step explanation:

Since we have given that

For the first 10 minutes , the service charges = $0.30

Let the number of additional minute be 't'.

Amount charge for each additional minute = $0.05

Using the greatest integer function:

So, Cost C of a call in terms of time 't' minutes would be

C=0.03+0.05\left \lceil t-10 \right \rceil

As we know that Greatest integer is discontinuous at every integer.

So, our Cost function is discontinuous at every integer after x>10.

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