Your favorite dog groomer charges according to your dog's weight. If your dog is 15 pounds and under, the groomer
charges $35. If your dog is between 15 and 40 pounds, she charges $40. If your dog is over 40 pounds, she charges $40,
plus an additional $2 for each pound.
a. Write a piecewise function that describes what your dog groomer charges.
b. Graph the function.

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ke7y25 ke7y25 · Answer 1 · 2020-10-21T18:52:53+02:00

Answer:

hope the pics below helps!!

Plz mark brainliest :DD

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MrRoyal MrRoyal · Answer 2 · 2021-09-18T12:35:33+02:00

The groomer charges is an illustration of a piece-wise function, where different functions are used to handle different inputs.

The piece-wise function is:

[tex]f(x) = \left[\begin{array}{ccc}35,&x \le 15\\40, &15 < x \le 40\\2x - 40,&x > 40\end{array}\right[/tex]

Let:

[tex]x \to[/tex] weight of dog

[tex]y \to[/tex] charges

Dogs that weigh 15 pounds or under

This means that: [tex]x \le 15[/tex]

And the charges is [tex]y = 35[/tex]

Dogs that weigh between 15 and 40 pounds

This means that: [tex]15 < x \le 40[/tex]

And the charges is [tex]y = 40[/tex]

Dogs that weigh over 40 pounds

This means that: [tex]x > 40[/tex]

And the charges is [tex]y = 40 + (x - 40) \times 2[/tex]

Simplify

[tex]y = 40 + 2x - 80[/tex]

Collect like terms

[tex]y = 2x +40- 80[/tex]

[tex]y = 2x - 40[/tex]

So, the piece-wise function is:

[tex]f(x) = \left[\begin{array}{ccc}35,&x \le 15\\40, &15 < x \le 40\\2x - 40,&x > 40\end{array}\right[/tex]

See attachment for the graph of the piece-wise function

Read more about piece-wise functions at:

https://brainly.com/question/19338550