Answered

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A cell phone company charges an initial price of $500 for a new phone and then $60 each month after the purchase. if c (t) is a rational function that represents the average monthly cost of owning the cell phone, what is the range of the function? (2 points) r: (0, 500) r: (60, 560) r: ℠r: (−[infinity], [infinity])

Sagot :

The range of the given function is: (500, ∞).

What is the range of a function?

The collection of potential output values for a function is known as its range.

Now,

Given:

  • Initial price of the cell phone = $500
  • Monthly charge = $60

Let 't' be the number of months. Then, the function C(t) can be calculated as:

C(t) = 500 + 60t

For range:

The minimum value will be when t = 0, i.e., when no charge has been charged by for each month.

Thus, C(0) = 500 + 60(0)

=> C(0) = 500

The maximum value will be when t = ∞, i.e., for infinite number of months.

=> C(∞) = 500 + 60(∞)

=> C(∞) = 500 + ∞

=> C(∞) = ∞

Thus, the range of the function will be: (500, ∞).

To learn more about the range of a function, refer to the link: https://brainly.com/question/10197594

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