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

(0,0)
left parenthesis 0 comma 0 right parenthesis

(1,2.5)
left parenthesis 1 comma 2.5 right parenthesis

(10,25)
left parenthesis 10 comma 25 right parenthesis

(10,22.5)
left parenthesis 10 comma 22.5 right parenthesis

Answer 1

(10, 25)

Because the 2.5x branch is only for x < 10, the point (10, 2.5·10 = 25) is not included (open). The 2.25x branch applies at x ≥ 10, so (10, 22.5) is filled.