Question

a cell phone company charges an initial price of $400 for a new phone and then $50 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?

Answer 1

The range of the function, c(t), where the fixed cost is $400 and the monthly charge is $50 is {$450, $250, ... }.

What is the range of a function?

The range of a function is the complete set of all possible resulting values of the dependent variable (y) after substituting the domain.

Thus, the range is the resulting y-values after substituting all the possible x-values (domain).

In this instance, the range of the function tells us the monthly average cost.  We can see that as the months increase, the monthly average cost continues to reduce.

Data and Calculations:

Fixed initial cost = $400

Monthly charge = $50

C(t) = 400 + 50x

Domain, x = 1 to 12 (months)

Range, y = {(400 + 50), (400 + 50 x 2)/2,  (400 + 50 x 3)/3,  (400 + 50 x 4)/4, ...  (400 + 50 x 12)/12}

=  {$450, $250, ... }.

In conclusion, the range of the function, c(t) is {$450, $250, ... }.

Learn more about the range of a function at brainly.com/question/7954282 and brainly.com/question/1466393

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