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)

(1,2.5)


(10,22.5)


(10,25)


(0,0)

Answer 1

(10,25)

Because for x<10 the graph is y=2.5x, which would reach (10,25) but x=10 is not included there (open circle). At x=10 the function value is 2.25·10 = 22.5 (closed).