7. The cost per computer produced at a factory depends on how many computers the factory produces in a day. The cost function is modeled by C(n)=n² -n+ 200 , where n is the number of computers produced in %3D 500 a day and C(n) is the unit cost, in dollars per computer. (a) Calculate C(50) and give an interpretation of (b) Does the cost have a minimum or maximum value? Explain. Use your calculator to find it. your answer in terms of the scenario described. (c) Based on (b), can this function have any real zeroes? Explain your thought process.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 64PFA
icon
Related questions
Question
100%
How would you solve number 7?
AMAIE A
A
BUR RNT
FOLD
VISITO
INS
uide
THE
T
CO
APPLICATIONS
6.
The height of an object that is traveling through the air can be well modeled by a quadratie function that
opens downward. An object is fired upward and its height in feet above the ground is given by
h(1) =-161 + 64/ + 80
where the input, t, is the time, in seconds, the object has been in the air
(a) Using your calculator, sketch a graph of the object's
height for all times where it is at or above the
ground.
160
140
120
(b) What is its maximum height in feet?
100
80
60
(c) At what time does it hit the ground?
40
20
5
2 3
Time, t, seconds
4
(d) Over what time interval is its height increasing?
BOPE
7. The cost per computer produced at a factory depends on how many computers the factory produces in a day.
-n² -n+ 200, where n is the number of computers produced in
500
The cost function is modeled by C(n)=-
OPEW
a day and C(n) is the unit cost, in dollars per computer.
31 Di
dl Cap
-877
(b) Does the cost have a minimum or maximum
value? Explain. Use your calculator to find it.
(a) Calculate C(50) and give an interpretation of
your answer in terms of the scenario described.
(c) Based on (b), can this function have any real zeroes? Explain your thought process.
COMMON CORE ALGEBRA I, UNIT #8 – QUADRATIC FUNCTIONS AND THEIR ALGEBRA - LESSON #2
EMATHINSTRUCTION, RED HOOK, NY 12571, © 2013
「三
Height above the ground, h, in feet
OPENE
Transcribed Image Text:AMAIE A A BUR RNT FOLD VISITO INS uide THE T CO APPLICATIONS 6. The height of an object that is traveling through the air can be well modeled by a quadratie function that opens downward. An object is fired upward and its height in feet above the ground is given by h(1) =-161 + 64/ + 80 where the input, t, is the time, in seconds, the object has been in the air (a) Using your calculator, sketch a graph of the object's height for all times where it is at or above the ground. 160 140 120 (b) What is its maximum height in feet? 100 80 60 (c) At what time does it hit the ground? 40 20 5 2 3 Time, t, seconds 4 (d) Over what time interval is its height increasing? BOPE 7. The cost per computer produced at a factory depends on how many computers the factory produces in a day. -n² -n+ 200, where n is the number of computers produced in 500 The cost function is modeled by C(n)=- OPEW a day and C(n) is the unit cost, in dollars per computer. 31 Di dl Cap -877 (b) Does the cost have a minimum or maximum value? Explain. Use your calculator to find it. (a) Calculate C(50) and give an interpretation of your answer in terms of the scenario described. (c) Based on (b), can this function have any real zeroes? Explain your thought process. COMMON CORE ALGEBRA I, UNIT #8 – QUADRATIC FUNCTIONS AND THEIR ALGEBRA - LESSON #2 EMATHINSTRUCTION, RED HOOK, NY 12571, © 2013 「三 Height above the ground, h, in feet OPENE
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning