Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The cost of Haley's cell phone bill can be expressed by the function C (m) = 0.05m+20, where m is the number of minutes used. What are the domain and range of the function C (m) ?

Question

Mathematics

Emmanuel Ross

2 November, 19:09

Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The cost of Haley's cell phone bill can be expressed by the function C (m) = 0.05m+20, where m is the number of minutes used. What are the domain and range of the function C (m) ?

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Answers (1)

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Tatiana Carroll · Answer 1

domain: 0 ≤ m ≤ 44,640

range: 20 ≤ C ≤ 2252

Step-by-step explanation:

Haley cannot possibly use her phone more than 24 hours a day for 31 days in a month, so the number of minutes in a month puts a limit on the domain of the function.

The upper end of the range is correspondingly limited.

The number of minutes cannot be negative, and C will have a minimum value of 20.