A telephone company offers a monthly cellular phone plan for $ 39.99 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.

Upper C left parenthesis x right parenthesis equalsC(x) =39.99
if 0 less than x less than or equals 3000 < x ≤300
0.25 x minus 35.010.25x−35.01
if x greater than 300x > 300
Compute the monthly cost of the cellular phone for use of the following anytime minutes.
​(a)  170=$
​(b)  335=$
​(c)  301=$

Respuesta :

a. 39.99 
b. 39.99 + 0.25(35) = 48.74
c. 39.99 + 0.25(1) = 40.24

The following anytime minutes.

      ​(a) 170=$ 39.99

      ​(b) 335=$48.74

​       (c) 301=$ 40.24

Step-by-step explanation:

C(x) = $39.99 for 0 < x ≤ 300

C(x) = $39.99 + $0.25x for x > 300

a) Total number of minutes = 170

170 mins is less than 300 mins

Therefore the cost is $39.99

b) Total number of minutes = 335

335 mins is greater than 300 mins

It is (335 - 300) = 35 mins more than 300 mins

Therefore the cost is $39.99 + $0.25(35) = $48.74

c) Total number of minutes = 301

301 is greater than 300 mins

It is (301 - 300) = 1 min more than 300 mins

Therefore the cost is $39.99 + $0.25(1) = $40.24

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