Question

a dog groomer charges a total price that is dependent on the weight of the dog. the function f(x), representing the grooming fee, in terms of weight, x, is modeled below.
$f(x)=\

$$\begin{cases} 45, & 045 \\end{cases}$$

$
determine the grooming cost for a 60 - pound dog.
$115
$100
$55
$45

Explanation:

Step1: Identify the correct function

The dog's weight is 60 pounds. We check the domains: \(0 < x \leq 12\), \(12 < x \leq 45\), and \(x > 45\). Since \(60 > 45\), we use the function \(f(x)=55 + 3(x - 45)\).

Step2: Substitute \(x = 60\) into the function

Substitute \(x = 60\) into \(f(x)=55 + 3(x - 45)\):

$$
LATEXBLOCK0
$$

Answer:

\$100