# To call Atlanta from Boston, the long distance charges C are $0.37 for the first minute and $0.33 for each additional minute t (or ....?

To call Atlanta from Boston, the long distance charges C are $0.37 for the first minute and $0.33 for each additional minute t (or portion thereof). Draw a graph of C versus t. Is this an example of continuous or discontinuous function? Explain.

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- anonymousLv 73 weeks agoFavourite answer
c(t) =

0.37 ……. 0 < t ≤ 1

0.70 ……. 1 < t ≤ 2 ………. (0.37 + 0.33) = 0.70

1.03 ……. 2 < t ≤ 3 ………. (0.70 + 0.33) = 1.03

1.36 ……. 3 < t ≤ 4 ………. (1.03 + 0.33) = 1.36

etc

Using the greatest integer function, the cost function can be written as

c(t) = 0.37 - 0.33 [[1 - t]]

The graph of c(t) is discontinuous. It cannot be drawn as a smooth curve without lifting the pencil from the paper.

Graph:

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