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Tanya saves $25 each week until she has enough to buy a coat she's been eyeing
at the department store. The coat costs $245 and she is hoping she can purchase it
before the winter holidays. Determine a reasonable domain and range for this
situation if amount she needs to buy the coat is a function of the amount she has
saved.

Respuesta :

MrRoyal

The domain and the range of a function are the possible input and output values, the function can take.

The domain and range of Tanya's savings is [0,10) and [0,245], respectively.

Let:

[tex]x \to weeks[/tex]

[tex]y \to amount[/tex]

So, the equation is:

[tex]y = 25x[/tex]

The domain is the number of weeks she used to save.

When [tex]y = 245[/tex] (i.e. the total savings), we have:

[tex]245 = 25x[/tex]

Solve for x

[tex]x = 245/25[/tex]

[tex]x = 9.8[/tex]

Approximate

[tex]x = 10[/tex]

Hence, the domain of the function is: [0, 10)

The range is the minimum and maximum amount she can save.

Before she starts to save, she has $0.

At the end of the 10th week, she has $245.

Hence, the range of the function is [0,245]

Read more about domain and range at:

https://brainly.com/question/1632425

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