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

(10,25)

left parenthesis 10 comma 25 right parenthesis

(0,0)

left parenthesis 0 comma 0 right parenthesis

(1,2.5)

left parenthesis 1 comma 2.5 right parenthesis

Answer 1

(10, 25)

The branch 2.5x is only for x < 10, so at x = 10 that value (2.5·10 = 25) is not included — an open circle at (10, 25).