# A cell phone plan costs $39 a month. The plan includes 2 gigabytes (GB) of free data and charges$15 per gigabyte for any additional data used. The monthly charges are a function of the number of gigabytes of data used, given by C (x) = (x) 39, if 0 ⩽ x ⩽ 2 39 + 15 (x − 2), if x > 2 (a) Find C(0.5), C(2), and C(4) . (b) What do your answers in part (a) represent? (c) Is C(x) continuous at x = 2?

###### Question:

A cell phone plan costs $39 a month. The plan includes 2 gigabytes (GB) of free data and charges$15 per gigabyte for any additional data used. The monthly charges are a function of
the number of gigabytes of data used, given by
C (x) = (x)
39, if 0 ⩽ x ⩽ 2
39 + 15 (x − 2), if x > 2
(a) Find C(0.5), C(2), and C(4) .
(b) What do your answers in part (a) represent?
(c) Is C(x) continuous at x = 2?

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