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Kira’s monthly gym bill is $50 plus $15 per class. She signs up for at least one
class each month. Write a linear function to represent Kira’s gym cost. What do the domain and range of the function represent?

Kiras monthly gym bill is 50 plus 15 per class She signs up for at least one class each month Write a linear function to represent Kiras gym cost What do the do class=

Respuesta :

Using a linear equation, it is found that:

The linear function is: [tex]C(n) = 50 + 15n[/tex]

The domain of the function is: [tex]D_C = [0,\infty)[/tex]

The range of the function is: [tex]R_C = [50,\infty)[/tex]

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The linear equation for her monthly bill, considering she goes to n classes, has the following format:

[tex]C(n) = C_f + an[/tex]

In which

  • [tex]C_f[/tex] is the fixed cost.
  • a is the cost per class.

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  • Monthly bill of $50 plus $15 per class means that: [tex]C_f = 50, a = 15[/tex].

Thus, the linear function is:

[tex]C(n) = 50 + 15n[/tex]

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  • The domain is the input, that is, n, the number of classes she can go. It is of 0 or greater, thus: [tex]D_C = [0,\infty)[/tex].
  • The range is the output, that is, C, the possible costs, which ranges from 50(0 classes), to infinity, and thus: [tex]R_C = [50,\infty)[/tex].

A similar problem is given at https://brainly.com/question/10891721

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