Question

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

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

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

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

(10,22.5)
left parenthesis 10 comma 22.5 right parenthesis
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Answer 1

(10, 25)

Explanation: The left piece 2.5x applies for x < 10, so at x = 10 that branch would give 2.5·10 = 25 but x = 10 is excluded, so (10,25) is an open circle. The right piece includes x = 10 and gives (10,22.5) as a filled point.