A telephone company offers a monthly cellular phone plan for $19.99. It includes

Question

A telephone company offers a monthly cellular phone plan for $19.99. It includes 350 anytime minutes plus $0.25 per minute for additional minutes. The following function is used to compute the monthly cost for a subscriber, where x is the number of anytime minutes used. C(x) = {19.99 if 0 350 Compute the monthly cost of the cellular phone for use of the following anytime minutes. (a) 245 (b) 405 (c) 351 (a) C(245) = $ (Round to the nearest cent as needed.) (b) C(405) = $ (Round to the nearest cent as needed.) (c) C(351) = $ (Round to the nearest cent as needed.)

Explanation / Answer

a) x = 245 ; valid piece wise function C(x) = 19.99

So, C(245) = $19.99

b) x = 405 ; valid function : C(x) = 0.25x - 67.51

C(405) = $33.74

c) x = 351 ; valid function ; C(x) = 0.25x - 67.51

C(351) = 0.25*351 - 67.51 = $810.24

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