Question

A gas station is offering a deal. If you buy 10 gallons or more of gas, you will be charged $2.25 per gallon instead of the regular $2.50 per gallon. The deal is modeled by the following piecewise function.

f(x)={2.5x if x<102.25x if x≥10


If you were to create a graph of this piecewise function, which point would have an open circle?

(1 point)
Responses

(10,22.5)

left parenthesis 10 comma 22.5 right parenthesis

(1,2.5)

left parenthesis 1 comma 2.5 right parenthesis

(10,25)

left parenthesis 10 comma 25 right parenthesis

(0,0)

Answer 1

Open circle at (10, 25).

Because the left piece 2.5x is only for x < 10, the point (10, 2.5·10 = 25) is not included (open). The function value at x = 10 is given by the right piece 2.25x = 22.5 (filled).