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.

2.5x if x < 10
f(x)=
2.25x if x ≥ 10
If you were to create a graph of this piecewise function, which point would have an open circle?

(1 point)

O (1,2.5)

O (0,0)

O (10,25)

O (10,22.5)

Answer 1

(10,25)

Because the first piece 2.5x applies only for x < 10, the point (10, 2.5·10 = 25) is not included (open circle). The value at x = 10 is given by the second piece, 2.25·10 = 22.5 (closed).