A telephone company offers a monthly cellular phone plan for $19.99. It includes 250 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 thenumber of anytime minutes used.{19.99if 0 < x 250Compute the monthly cost of the cellular phone for use of the following anytime minutes.(c) 251(a) 140(b) 300

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Asked Dec 7, 2019
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A telephone company offers a monthly cellular phone plan for $19.99. It includes 250 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.
{
19.99
if 0 < x <250
C(x) =
%3D
0.25x - 42.51
if x > 250
Compute the monthly cost of the cellular phone for use of the following anytime minutes.
(c) 251
(a) 140
(b) 300
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A telephone company offers a monthly cellular phone plan for $19.99. It includes 250 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. { 19.99 if 0 < x <250 C(x) = %3D 0.25x - 42.51 if x > 250 Compute the monthly cost of the cellular phone for use of the following anytime minutes. (c) 251 (a) 140 (b) 300

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Expert Answer

Step 1

Given that a telephone company offers a monthly phone plan for $19.99. The following function is used to compute the monthly cost for subscriber,

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if 0 <x< 250 19.99 С(х) = 10.25x – 42.5 if x > 250 To compute: The monthly cost of the cellular phone for use of the following anytime minutes.

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Step 2

a) 140

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If anytime minutes are 140, i.e. x = 140, means it lies in the range 0<x< 250. Thus, from the given piecewise function C(140) =19.99

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Step 3

b) 300

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If anytime minutes are 300, i.e. x= 300, means it lies in the range x > 250. Thus, from the given piecewise function C(300) = 0.25(300) – 42.5 = 75 – 42.5 = 32.5

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