7 A company produces and sells books. The weekly cost, in euros, for producing x books is € (0.1x² + 400). The weekly income from selling x books is € (-0.12x² + 30x). a Show that the weekly profit, P(x), can be written as P(x) = -0.22x² + 30x-400. b Plot a graph of this equation and hence sketch it on paper, showing the coordinates of the vertex and axes intercepts. c State what the x-intercepts represent in the context of the problem.
7 A company produces and sells books. The weekly cost, in euros, for producing x books is € (0.1x² + 400). The weekly income from selling x books is € (-0.12x² + 30x). a Show that the weekly profit, P(x), can be written as P(x) = -0.22x² + 30x-400. b Plot a graph of this equation and hence sketch it on paper, showing the coordinates of the vertex and axes intercepts. c State what the x-intercepts represent in the context of the problem.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.CT: Chapter Test
Problem 8CT
Related questions
Question
![7 A company produces and sells books.
The weekly cost, in euros, for producing x
books is € (0.1x² + 400).
The weekly income from selling x books is
€ (-0.12x² + 30x).
a
Show that the weekly profit, P(x), can be
written as P(x) = -0.22x² + 30x-400.
b Plot a graph of this equation and
hence sketch it on paper, showing the
coordinates of the vertex and axes
intercepts.
c
State what the x-intercepts represent in
the context of the problem.
d
Find the equation of the axis of symmetry
of the graph, and state what this tells you
in the context of the problem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2ac1dee-77de-4417-92e6-8475efbb3d7d%2F829de0e1-73e7-48d1-bbf8-a16e0feffae1%2Fvpgws1r_processed.png&w=3840&q=75)
Transcribed Image Text:7 A company produces and sells books.
The weekly cost, in euros, for producing x
books is € (0.1x² + 400).
The weekly income from selling x books is
€ (-0.12x² + 30x).
a
Show that the weekly profit, P(x), can be
written as P(x) = -0.22x² + 30x-400.
b Plot a graph of this equation and
hence sketch it on paper, showing the
coordinates of the vertex and axes
intercepts.
c
State what the x-intercepts represent in
the context of the problem.
d
Find the equation of the axis of symmetry
of the graph, and state what this tells you
in the context of the problem.
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