A dog groomer charges her clients by the weight of the dog. The following piecewise function represents the total charge, f(𝑥), for a dog weighing x pounds.

Question

f(x)=⎧⎩⎨⎪⎪2.5x if 0≤x≤203.5x if 20 <x≤50 5x if x>50


What would be the last point graphed on the first piece of the function, f(x)=2.5x
?



(1 point)
Responses

(20, 50)
(20, 50)

(50, 20)
(50, 20)

(2.5, 5)
(2.5, 5)

(5, 50)
(5, 50)
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Answer 1

To determine the last point graphed on the first piece of the piecewise function \(f(x) = 2.5x\) for the defined range \(0 \leq x \leq 20\), we evaluate the function at the upper limit of the interval, which is \(x = 20\).

Calculating \(f(20)\):

\[ f(20) = 2.5 \times 20 = 50 \]

Thus, the last point on the first piece of the function is \((20, 50)\).

The correct response is:

(20, 50)