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.
Answers
Answer:
hope the pics below helps!!
Plz mark brainliest :DD
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
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