Speeding Tickets In a certain state the maximum speed per- mitted on freeways is 65 mi/h, and the minimum is 40 mi/h. The fine F for violating these limits is $15 for every mile above the maximum or below the minimum. (a) Complete the expressions in the following piecewise defined function, where x is the speed at which you are driving. if 0 65 F(x) = (b) Find F(30), F(50), and F(75). (c) What do your answers in part (b) represent?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.1: Functions
Problem 88E
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Speeding Tickets In a certain state the maximum speed per-
mitted on freeways is 65 mi/h, and the minimum is 40 mi/h.
The fine F for violating these limits is $15 for every mile
above the maximum or below the minimum.
(a) Complete the expressions in the following piecewise
defined function, where x is the speed at which you are
driving.
if 0<x< 40
if 40 sxS 65
if x> 65
F(x) =
(b) Find F(30), F(50), and F(75).
(c) What do your answers in part (b) represent?
Transcribed Image Text:Speeding Tickets In a certain state the maximum speed per- mitted on freeways is 65 mi/h, and the minimum is 40 mi/h. The fine F for violating these limits is $15 for every mile above the maximum or below the minimum. (a) Complete the expressions in the following piecewise defined function, where x is the speed at which you are driving. if 0<x< 40 if 40 sxS 65 if x> 65 F(x) = (b) Find F(30), F(50), and F(75). (c) What do your answers in part (b) represent?
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