Problem

A telephone company offers a monthly cellular phone plan for $34.99. It includes 300 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)={34.99 if 0<x3000.25x40.01 if x>300
Compute the monthly cost of the cellular phone for use of the following anytime minutes.
(a) 195
(b) 335
(c) 301

Answer

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Answer

Final Answer: The monthly cost of the cellular phone for use of 195 minutes is 34.99 dollars, for 335 minutes is 43.74 dollars, and for 301 minutes is 35.24 dollars.

Steps

Step 1 :The problem provides a function to calculate the monthly cost of a cellular phone plan. The function is defined as follows: \[C(x)=\left\{\begin{array}{ll} 34.99 & \text { if } 0300 \end{array}\right.\] where x is the number of anytime minutes used.

Step 2 :We are asked to calculate the monthly cost for three different scenarios: (a) 195 minutes, (b) 335 minutes, and (c) 301 minutes.

Step 3 :For (a), since 195 is less than or equal to 300, we use the first part of the function. So, the cost is $34.99.

Step 4 :For (b), since 335 is greater than 300, we use the second part of the function. So, the cost is 0.25×33540.01=$43.74.

Step 5 :For (c), since 301 is greater than 300, we use the second part of the function. So, the cost is 0.25×30140.01=$35.24.

Step 6 :Final Answer: The monthly cost of the cellular phone for use of 195 minutes is 34.99 dollars, for 335 minutes is 43.74 dollars, and for 301 minutes is 35.24 dollars.

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